เอกสารประกอบการสอนวิชาสถิติเพื่อการวิเคราะห์ข้อมูล มหาวิทยาลัยราชภัฏลำปาง 2561

ห น้ า | 196

ตาราง ค มธั ยฐาน ค่าพิสัยระหวา่ งควอไทล์ และคา่ สถิติ H ของการรบั วจิ ัยการศึกษา สาขาวจิ ัย สาขาการศึกษา ภาควชิ า การศึกษา สถติ ิ นอกระบบ รายการ สารัตถศึกษา การศึกษาและ โรงเรียน ประถมศึกษา มธั ยมศึกษา บริหา สมรรถภาพ 1. ตระหนกั ใน MD IQR การวัดและ MD IQR MD IQR MD ความสาคญั และ 3.00 1.00 3.00 1.00 3.00 1.00 3.00 คุณคา่ ของการวจิ ยั ประเมินผล 2. เตม็ ใจส่งเสริม 4.00 1.00 3.00 1.00 3.00 1.00 4.00 และสนบั สนุนการ การศึกษา วจิ ยั 3.00 0.50 3.00 1.00 3.00 1.00 3.00 3. มีศรัทธาต่อการ 3.00 0.76 MD IQR MD IQR 3.00 0.00 3.00 0.76 3.00 วจิ ยั 3.00 1.00 3.00 0.00 3.00 1.00 3.00 4. มีเหตุผล 3.00 1.00 3.00 1.00 3.00 1.00 3.00 0.00 3.00 0.50 3.00 5. ไม่เชื่อสิ่งใด ง่ายๆ 3.00 0.00 4.00 1.00 3.00 0.50 3.00 1.00 3.00 0.50 3.00 6. กลา้ 3.00 1.00 3.00 1.00 3.00 1.00 3.00 วพิ ากษว์ จิ ารณเ์ รื่อง 3.00 1.00 2.00 2.00 ต่างๆดว้ ยหลกั เหตุผล 3.00 1.00 3.00 0.50 7. ช่างสงั เกตุอยา่ ง 3.00 1.00 3.00 1.00 มีระบบ 8. ยอมรับฟังความ 3.00 0.50 3.00 0.00 คดิ เห็นและคา วจิ ารณ์ของผอู้ ่ืน 3.00 0.00 3.00 0.50 3.00 1.00 3.00 1.00

บร้สู มรรถภาพนกั วจิ ัยด้านจติ อารมณ์เปน็ รายขอ้ จาแนกตามภาควิชา รการศึกษา จิตวทิ ยา โสตทัศนศึกษา พลศึกษา อดุ มศึกษา พยาบาลศึกษา IQR MD IQR MD IQR MD IQR MD IQR MD IQR H 1.00 3.00 1.00 3.00 1.00 3.00 1.00 3.00 1.00 3.00 1.00 9.59 1.00 3.00 0.76 3.00 0.76 3.00 1.00 3.00 1.00 4.00 1.00 10.32 1.00 3.00 1.00 2.00 0.76 3.00 1.00 3.00 0.00 3.00 1.00 34.81* 1.00 3.00 1.00 3.00 0.00 3.00 0.50 3.00 1.00 3.00 1.00 6.40 1.00 3.00 1.00 3.00 0.76 3.00 0.00 3.00 1.00 3.00 1.00 6.94 1.00 3.00 2.00 3.00 0.76 3.00 0.00 3.00 0.00 3.00 1.00 16.32 1.00 2.50 1.00 3.00 1.00 3.00 1.00 3.00 1.00 3.00 0.00 28.18* 1.00 3.00 1.00 3.00 1.00 3.00 0.50 3.00 1.00 3.00 0.00 7.14*

วจิ ัยการศึกษา สาขาวจิ ัย สาขาการศึกษา ภาควชิ า การศึกษา สถติ ิ นอกระบบ รายการ สารัตถศึกษา การศึกษาและ โรงเรียน ประถมศึกษา มัธยมศึกษา บริหา สมรรถภาพ 9. ซ่ือสตั ย์ และมี MD IQR การวัดและ MD IQR MD IQR MD น้ าใจเป็ นกลางไม่ 3.00 1.00 3.00 1.00 3.00 1.00 3.00 อคติ 4.00 1.00 ประเมนิ ผล 3.00 1.00 3.00 1.00 3.00 10. มีความ กระตือรือร้นใน 4.00 1.00 การศึกษา 3.00 0.00 3.00 1.00 3.00 การแสวงหา 3.00 1.00 4.00 1.00 3.00 1.00 4.00 ขอ้ เทจ็ จริง เพ่ือ 4.00 1.00 MD IQR MD IQR 3.00 1.00 4.00 1.00 3.00 อธิบายขอ้ ปัญหา 3.00 1.00 3.00 1.00 3.00 1.50 3.00 11. มีความอยากรู้ 3.00 0.50 3.00 1.00 3.00 1.50 3.00 1.00 3.00 2.00 3.00 อยากเห็น 12. มีความ 3.00 1.00 3.00 0.50 รับผดิ ชอบตอ่ ผลสาเร็จของงาน 3.00 2.00 3.00 1.50 13. มีความต้งั ใจใฝ่ 3.00 1.00 3.00 1.00 สมั ฤทธ์ิ (ทาอะไร 4.00 1.00 3.00 0.00 ตอ้ งใหส้ าเร็จ) 3.00 1.00 2.00 1.50 14. ชอบศึกษา 3.00 1.00 3.00 1.50 คน้ ควา้ ทดลองอยู่ เสมอ 15. มีความคดิ อิสระ (เป็นของ ตวั เอง) ริเริ่มและ สร้างสรรค์

รการศึกษา จิตวทิ ยา โสตทัศนศึกษา พลศึกษา อุดมศึกษา พยาบาลศึกษา IQR MD IQR MD IQR MD IQR MD IQR MD IQR H 1.00 3.00 0.76 3.00 1.76 3.00 0.50 3.00 1.00 3.00 0.00 10.90 1.00 3.00 1.00 3.00 0.00 3.00 1.00 3.00 0.00 3.00 1.00 27.59* 1.00 3.00 1.00 4.00 1.00 3.00 1.00 3.00 1.00 3.00 1.00 18.02 1.00 3.00 1.00 3.00 1.00 3.00 1.00 3.00 1.00 3.00 1.00 8.24 1.00 3.00 1.00 4.00 0.76 3.00 0.50 3.00 1.00 4.00 1.00 15.24 1.00 2.00 1.00 3.00 1.50 3.00 1.00 3.00 1.00 3.00 1.00 16.38 1.00 3.02 1.76 3.00 0.76 3.00 0.50 3.00 0.00 3.00 1.00 11.54

วจิ ัยการศึกษา สาขาวิจัย สาขาการศึกษา ภาควชิ า การศึกษา สถติ ิ นอกระบบ รายการ สารัตถศึกษา การศึกษาและ โรงเรียน ประถมศึกษา มัธยมศึกษา บริหา สมรรถภาพ 16. นิยมใช้ MD IQR การวัดและ MD IQR MD IQR MD สารสนเทศ 3.00 1.00 3.00 1.00 3.00 1.00 3.00 (INFORMATION) ประเมนิ ผล เป็ นพ้ืนฐานในการ 3.00 0.00 3.00 1.00 3.00 0.50 3.00 ตดั สินใจ 3.00 0.00 การศึกษา 3.00 1.00 3.00 1.00 3.00 17. มีความละเอียด 3.00 1.00 3.00 1.00 4.00 1.00 4.00 รอบคอบทางาน 3.00 1.00 MD IQR MD IQR 3.00 1.00 3.00 1.00 3.00 เป็นระเบยี บ 18. ไม่ละเมิดสิทธิ 3.00 1.00 3.00 2.00 มนุษยช์ นของกลุ่ม ตวั อยา่ ง 3.00 0.00 3.00 1.50 19. ไม่เปิ ดเผย 3.00 1.00 3.00 0.50 ขอ้ มูลท่ีเป็น 4.00 1.00 3.00 0.50 ความลบั ของกลุ่ม ตวั อยา่ ง 4.00 1.00 3.00 1.00 20. ไม่บิดเบือน ขอ้ มูลท่รี วบรวมมา ไดเ้ พอ่ื ใหส้ นบั สนุนผลการวจิ ยั ท่ี ตนคาดหวงั ไว้

รการศึกษา จิตวทิ ยา โสตทศั นศึกษา พลศึกษา อดุ มศึกษา พยาบาลศึกษา IQR MD IQR MD IQR MD IQR MD IQR MD IQR H 1.00 3.00 1.00 3.00 1.76 2.00 1.00 3.00 1.00 3.00 1.00 30.18* 1.00 3.00 1.00 3.00 1.76 3.00 0.00 3.00 1.00 3.00 1.00 16.18 1.00 3.00 1.766 3.00 1.00 3.00 2.00 3.00 1.00 3.00 1.00 16.01 1.00 4.00 1.00 4.00 0.76 4.00 1.00 4.00 1.00 4.00 1.00 13.24 1.00 3.00 1.00 3.00 1.76 3.00 1.00 3.00 1.00 4.00 1.00 17.82

วิจัยการศึกษา สาขาวจิ ัย สาขาการศึกษา ภาควิชา การศึกษา สถติ ิ นอกระบบ รายการ สารัตถศึกษา การศึกษาและ โรงเรียน ประถมศึกษา มธั ยมศึกษา บริหาร สมรรถภาพ 21. ไม่อา้ ง การวัดและ ความคดิ ของผอู้ ื่น เป็ นของตน ประเมินผล รวม การศึกษา * p < 0.05 MD IQR MD IQR MD IQR MD IQR MD IQR MD 3.00 1.00 4.00 1.00 3.00 1.00 3.00 1.00 4.00 1.00 4.00 3.21 0.34 3.21 0.68 3.05 0.48 3.14 0.52 3.19 0.46 3.29

รการศึกษา จิตวทิ ยา โสตทัศนศึกษา พลศึกษา อุดมศึกษา พยาบาลศึกษา IQR MD IQR MD IQR MD IQR MD IQR MD IQR H 1.00 4.00 1.00 3.50 1.00 3.00 1.00 3.00 1.00 3.00 1.00 7.80 0.54 3.00 0.38 3.24 0.28 3.00 0.42 3.14 0.52 3.12 0.42 20.66*

ตารางที่ 1 เลขสุ่ม 31 75 15 72 60 68 98 00 53 39 15 47 04 83 55 88 65 12 25 96 03 15 21 91 21 88 49 29 93 82 14 45 40 45 04 20 09 49 89 77 74 84 39 34 13 22 10 97 85 08 30 93 44 77 44 07 48 18 38 28 73 78 80 65 33 28 59 72 04 05 94 20 52 03 80 22 88 84 88 93 27 49 99 87 48 60 53 04 51 28 74 02 28 46 17 82 03 71 02 68 78 21 21 69 93 35 90 29 13 86 44 37 21 54 86 65 74 11 40 14 87 48 13 72 20 41 84 98 45 47 46 85 05 23 26 34 67 75 83 00 74 91 06 43 45 19 32 58 15 49 46 35 23 30 49 69 24 89 34 60 45 30 50 75 21 61 31 83 18 55 14 41 37 09 51 11 08 79 62 94 14 01 33 17 92 59 74 76 72 77 76 50 33 45 13 39 66 37 75 44 52 70 10 83 37 56 30 38 73 15 16 52 06 96 76 11 65 49 98 93 02 18 16 81 61 52 27 53 68 98 81 30 44 85 85 68 65 22 73 76 92 85 25 58 66 88 44 80 35 84 20 85 77 31 56 70 28 42 43 26 79 37 59 52 20 01 15 96 32 67 10 62 24 83 91 15 63 38 49 24 90 41 59 36 14 33 52 12 66 65 55 82 34 76 41 86 22 53 17 04 92 69 44 82 97 39 90 40 21 15 59 58 94 90 67 66 82 14 15 75 49 76 70 40 37 77 61 31 90 19 88 15 20 00 80 20 55 49 14 09 96 27 74 82 57 50 81 60 76 16 38 68 83 24 86 45 13 46 35 45 59 40 47 20 59 43 94 75 16 80 43 85 25 96 93 25 16 30 18 89 70 01 41 50 21 41 29 06 73 12 71 85 71 59 57 68 97 11 14 03 65 25 10 76 29 37 23 93 32 95 05 87 00 11 19 92 78 42 63 40 18 47 76 56 22 36 81 54 36 25 18 63 73 75 09 82 44 49 90 05 04 92 17 37 01 14 70 79 39 97 64 39 71 16 92 05 32 78 21 62 20 24 78 17 59 45 19 72 53 32 83 74 52 25 67 04 51 52 56 24 95 09 66 79 46 48 46 08 55 58 15 19 11 87 82 16 93 03 33 61 15 88 09 22 61 17 29 28 81 90 61 78 14 88 98 92 52 52 12 83 88 58 16 00 98 71 92 60 08 19 59 14 40 02 24 30 57 09 01 94 18 32 90 69 99 26 85 71 92 38 64 42 52 81 08 16 55 41 60 16 00 04 28 32 29 10 33 33 61 68 65 61 79 48 34 79 78 22 39 24 49 44 03 04 32 81 07 73 15 43 95 21 66 48 65 13 65 85 10 81 35 33 77 45 38 44 55 36 46 72 90 96 04 18 49 93 86 54 46 08 93 17 63 48 51 05 24 92 93 29 19 71 59 40 82 14 73 88 66 67 43 70 86 63 54 93 69 22 55 27 56 46 39 93 80 38 79 38 57 74 19 05 61 39 39 46 06 22 76 47 66 14 66 32 10 96 29 63 31 21 54 19 63 41 08 75 81 48 59 86 71 17 11 51 02 28 99 26 31 65 98 38 03 62 69 60 01 40 72 01 62 44 84 63 85 42 17 58 83 50 46 18 24 91 26 52 56 76 43 50 16 31 55 39 69 80 39 58 11 14 54 35 86 45 78 47 26 91 57 47 78 49 89 08 30 25 95 59 92 36 43 28 69 10 64 99 96 99 51 44 64 42 47 73 77 49 55 32 42 41 08 15 08 95 35 08 70 39 10 41 77 32 38 10 79 45 12 79 36 86 32 15 10 70 75 83 15 51 02 52 73 10 08 86 18 23 89 18 74 18 45 41 72 02 68 11 31 45 03 63 26 86 02 77 99 49 41 68 35 34 19 18 70 80 59 76 67 70 21 10 12 36 47 12 10 87 05 25 02 41 90 78 59 78 89 81 39 95 81 30 64 43 90 56 14 09 18 82 00 97 32 82 53 95 27 04 22 08 63 04 83 38 98 73 74 64 27 85 80 44 90 04 58 54 97 51 98 15 06 54 94 93 88 19 97 91 87 07 61 50 68 47 66 46 59 73 18 95 02 07 47 67 72 62 69 62 29 06 44 64 27 12 46 70 18 41 36 18 27 60 75 76 87 64 90 20 97 18 17 49 90 42 91 22 72 95 37 50 58 71 93 82 34 31 78 54 01 64 40 56 66 28 13 10 03 00 68 22 73 98 20 71 45 32 95 07 70 61 78 13

ตารางที่ 1 เลขส่มุ (ต่อ) 08 35 86 99 10 78 54 24 27 85 13 66 15 88 73 04 61 89 75 53 31 22 30 84 20 28 30 60 32 64 81 33 31 05 91 40 51 00 78 93 32 60 46 04 75 94 11 90 18 40 53 84 08 62 33 81 59 41 36 28 51 21 59 02 90 28 46 66 87 95 77 76 22 07 91 91 75 75 37 41 61 61 36 22 69 50 26 39 02 12 55 78 17 65 14 83 48 34 70 55 89 41 59 26 94 00 39 75 83 91 12 60 71 76 46 48 94 97 23 06 94 54 13 74 08 77 51 30 38 20 86 83 42 99 01 68 41 48 27 74 51 90 81 39 80 72 89 35 55 07 19 50 23 71 74 69 97 92 02 88 55 21 02 97 73 74 28 77 52 51 65 34 46 74 15 21 81 85 93 13 93 27 88 17 57 05 68 67 31 56 07 08 28 50 46 31 85 33 84 52 51 47 46 64 99 68 10 72 36 21 94 04 99 13 45 42 83 60 91 91 08 00 74 54 49 99 55 96 83 31 62 53 52 41 70 69 77 71 28 30 74 81 97 81 42 43 86 07 28 34 60 31 14 28 24 37 30 14 26 78 45 99 04 32 42 17 37 45 20 03 70 70 77 02 14 49 73 97 14 84 92 00 39 80 86 76 66 87 32 09 59 20 21 19 73 02 90 23 32 50 78 62 65 15 94 16 45 39 46 14 39 01 49 70 66 83 01 20 98 32 25 57 17 76 28 66 69 21 39 86 99 83 70 05 82 81 23 24 49 87 09 50 49 64 12 90 19 37 95 68 44 07 12 80 91 07 36 29 77 03 76 44 74 25 37 98 52 49 78 31 65 70 40 95 14 41 46 88 51 49 49 55 41 79 94 14 92 43 96 50 95 29 40 05 56 70 48 10 69 05 94 55 93 75 59 49 67 85 31 19 70 31 20 56 82 66 98 63 40 99 74 47 42 07 40 41 61 57 03 60 64 11 45 86 60 90 85 06 46 18 80 62 05 17 90 11 43 63 80 72 50 27 39 31 13 41 79 48 68 61 24 78 18 96 83 55 41 18 56 67 77 53 59 98 92 41 39 68 05 04 90 67 00 82 89 40 90 20 50 69 95 08 30 67 83 28 10 25 78 16 25 80 72 42 60 71 52 97 89 20 72 68 20 73 85 90 72 65 71 66 98 88 40 85 83 06 17 09 79 65 88 30 29 80 41 21 44 34 18 08 68 98 48 36 20 89 74 79 88 82 60 80 85 44 44 74 41 28 11 05 01 17 62 88 38 36 42 11 64 89 18 05 95 10 61 80 94 04 48 93 10 40 83 62 22 80 58 27 19 44 92 63 84 03 33 67 05 41 60 67 19 51 69 01 20 46 75 97 16 43 13 17 75 52 92 21 03 68 28 08 77 50 19 74 27 49 38 65 44 80 23 60 42 35 54 21 78 54 11 01 91 17 81 01 74 29 42 09 04 38 06 31 28 89 40 15 99 56 93 21 47 45 86 48 09 98 18 98 18 51 29 65 18 42 15 60 94 20 03 07 11 89 79 26 74 40 40 56 80 32 96 71 75 42 44 10 70 14 13 93 92 32 99 89 32 78 28 44 63 47 71 20 99 20 61 39 44 89 31 36 25 72 20 85 64 77 93 66 35 74 31 38 45 19 24 85 56 12 96 71 58 13 71 78 20 22 75 13 65 18 91 30 70 69 91 19 07 22 42 10 36 69 95 37 28 28 82 53 57 93 28 97 66 62 52 68 43 49 46 88 84 47 31 36 22 62 12 69 84 08 12 84 38 25 90 09 81 59 31 46 48 90 81 58 77 54 74 52 45 91 35 70 00 47 54 83 82 45 26 92 54 13 05 51 60 06 91 34 51 97 42 67 27 86 01 11 88 30 95 28 63 01 19 89 01 14 97 44 03 44 10 45 51 60 19 14 21 03 37 12 91 34 23 78 21 88 32 58 08 51 43 66 77 08 83 12 88 39 73 43 65 02 76 11 84 04 28 50 13 92 17 97 41 50 77 90 71 22 67 69 21 77 83 09 76 38 80 73 69 61 31 64 94 20 96 63 28 10 20 23 08 81 64 74 49 19 52 35 95 15 65 12 25 96 59 86 28 36 82 58 69 57 21 37 98 16 43 59 15 29 67 24 55 26 70 35 58 31 65 63 79 24 68 66 86 76 46 33 42 22 26 65 59 08 02 60 58 44 73 77 07 50 03 79 92 45 13 42 65 29 26 76 08 36 37 41 32 64 43 44

ตารางที่ 1 เลขส่มุ (ต่อ) 53 85 34 13 77 36 06 69 48 50 58 83 87 38 59 49 36 47 33 31 96 24 04 36 42 24 63 73 87 36 74 38 48 93 42 52 62 30 79 92 12 36 91 66 01 03 74 28 38 73 83 08 01 24 51 38 99 22 28 15 07 75 95 17 77 97 37 72 75 85 51 97 23 78 67 16 44 42 43 34 36 15 19 90 73 27 49 37 09 39 85 13 03 25 52 54 84 65 47 59 60 79 01 81 57 57 17 86 57 62 11 16 17 85 76 45 81 95 29 79 65 13 00 48 60 94 01 54 68 74 32 44 44 82 77 59 82 09 61 63 64 65 42 58 43 41 14 54 28 20 74 10 88 82 22 88 57 07 40 15 25 70 49 10 35 01 75 51 47 50 48 96 83 86 03 62 88 08 78 73 95 16 05 92 21 22 30 49 03 14 72 87 71 73 34 39 28 30 41 49 11 74 81 21 02 80 58 04 18 67 17 71 05 96 21 06 55 40 78 50 73 95 07 95 52 17 94 40 56 00 60 47 80 33 43 25 85 25 89 05 57 21 63 96 18 49 85 69 93 26 66 06 74 27 92 95 04 35 26 80 46 78 05 64 87 09 97 15 94 81 37 00 62 21 86 54 24 49 10 30 45 54 77 08 18 59 84 99 61 69 61 45 92 16 47 87 41 71 71 98 30 94 55 75 89 31 73 25 72 60 47 67 00 76 54 46 37 62 53 66 94 74 64 95 80 69 17 03 74 03 86 99 59 03 07 94 30 47 18 03 26 82 50 55 11 12 45 99 13 14 08 34 58 89 75 35 84 18 57 71 08 10 55 99 87 87 11 22 14 76 14 71 37 11 81 27 76 74 35 84 85 30 18 89 77 29 49 06 97 14 73 03 54 12 07 74 69 90 93 10 13 02 51 43 38 54 06 61 52 43 47 72 46 67 33 47 43 14 39 05 31 04 85 66 99 80 21 73 62 92 98 52 52 43 35 24 43 22 48 96 43 27 75 88 74 11 46 61 60 82 10 87 56 20 04 90 39 16 11 05 57 41 10 63 68 53 85 63 07 43 08 67 08 47 41 54 12 75 73 26 26 62 91 90 87 24 47 28 87 79 30 54 02 78 86 61 73 27 54 54 33 71 34 80 07 93 58 47 28 69 51 92 66 47 21 58 30 32 98 22 93 17 49 39 72 85 27 48 68 93 11 30 32 92 70 28 83 43 41 37 73 51 59 04 00 71 14 84 36 43 84 13 38 96 40 44 03 55 21 66 73 85 27 00 91 61 22 26 05 61 62 32 71 84 23 56 73 21 62 34 17 39 59 61 31 10 12 39 16 22 85 49 65 75 60 81 60 41 88 80 65 13 85 68 06 87 64 88 52 61 34 31 36 58 61 45 87 52 10 69 85 64 44 72 77 38 00 10 21 76 81 71 91 17 11 71 60 29 29 37 74 21 96 40 49 65 58 44 96 98 37 40 29 63 97 01 30 47 75 86 56 27 11 00 86 47 32 46 26 05 40 03 03 74 38 97 12 54 03 48 87 08 33 14 17 21 81 53 92 50 75 23 76 20 47 15 50 12 95 78 21 82 64 11 34 47 14 33 40 72 64 63 88 59 02 49 13 90 64 41 03 85 65 45 52 73 13 54 27 42 95 71 90 90 35 85 79 47 42 96 08 78 98 81 56 64 69 11 92 02 07 63 87 79 29 03 06 11 80 72 96 20 74 41 56 23 82 19 95 38 04 71 36 69 94 60 52 88 34 41 07 95 41 98 14 59 17 52 06 95 05 53 35 21 39 61 21 20 64 55 83 59 63 56 55 06 95 89 29 83 05 12 80 97 19 77 43 35 37 83 92 30 15 04 98 10 85 06 27 46 99 59 91 05 07 13 49 90 63 19 53 07 57 18 39 06 41 01 93 62 39 82 09 89 52 43 62 26 31 47 64 42 18 08 14 43 80 00 93 51 31 02 47 31 67 59 58 00 64 78 75 56 97 88 00 88 83 55 44 86 23 76 80 61 56 04 11 10 84 08 38 50 80 73 41 23 79 34 87 63 90 82 29 70 22 17 71 90 42 07 95 95 44 99 53 30 69 27 06 68 94 68 81 61 27 56 19 68 00 91 82 06 76 34 00 05 46 26 92 00 65 44 39 56 59 18 28 82 74 37 49 63 22 40 41 08 33 76 56 76 96 29 99 08 36 27 26 75 02 64 13 19 27 22 94 07 47 74 46 06 17 98 54 89 11 97 34 13 03 58

ตารางที่ 1 เลขส่มุ (ต่อ) 38 10 17 77 56 11 65 71 38 97 95 88 95 70 67 47 64 81 38 85 70 66 99 34 06 39 64 16 94 57 91 33 92 25 02 92 61 38 97 19 11 94 75 62 03 19 32 42 05 04 84 05 44 04 55 99 39 66 36 80 67 66 76 06 31 69 18 19 68 45 38 52 51 16 00 47 46 80 35 77 57 64 96 32 66 24 70 07 15 94 14 00 42 31 53 69 24 90 57 47 43 32 13 13 70 28 97 72 38 96 76 47 96 85 62 62 34 20 75 89 08 89 90 59 85 64 28 16 18 26 18 55 56 49 37 13 17 33 33 65 78 85 11 64 99 87 06 41 30 75 66 84 77 04 95 32 35 00 29 85 86 71 63 87 46 26 31 37 74 63 55 38 77 26 81 72 46 13 32 30 21 52 95 34 24 92 58 10 22 62 78 43 86 62 76 18 39 67 35 38 21 03 29 10 50 13 05 81 62 18 12 47 05 65 00 15 29 27 61 39 59 52 65 21 13 95 36 26 70 11 06 65 11 61 36 01 01 60 08 57 55 01 85 63 74 35 82 47 17 08 40 71 29 73 80 10 40 45 54 52 34 03 06 07 26 75 21 11 02 71 36 63 36 84 24 58 27 56 17 64 97 58 65 47 16 50 25 94 63 45 87 19 54 60 92 26 78 76 09 39 89 51 41 17 88 68 22 42 34 17 73 95 97 61 45 30 34 24 02 77 11 04 97 20 49 15 47 25 06 69 48 13 93 67 32 46 87 43 70 88 73 46 50 98 19 58 86 93 52 20 12 12 08 61 24 51 24 74 43 02 60 88 35 21 09 21 43 73 67 86 49 22 67 78 37 03 99 11 04 61 93 71 61 68 94 66 08 32 46 53 84 60 95 82 32 88 61 81 91 61 38 55 59 55 54 32 88 65 97 80 08 35 56 08 60 29 73 54 77 62 71 29 92 38 53 17 54 67 37 04 92 05 24 62 15 55 12 12 92 81 59 07 60 79 36 27 95 45 89 09 32 64 35 28 61 95 81 90 68 31 00 91 19 89 36 76 35 59 37 79 80 86 30 05 14 69 57 26 87 77 39 51 03 59 05 14 06 04 06 19 29 54 96 96 16 33 56 46 07 80 24 12 26 65 91 27 69 90 64 94 14 84 54 66 72 61 95 87 71 00 90 89 97 57 54 61 19 63 02 31 92 96 26 17 73 41 83 95 53 82 17 26 77 09 43 78 03 87 02 67 30 53 22 17 04 10 27 41 22 02 39 68 52 33 09 10 06 16 88 29 55 98 66 64 85 03 78 89 75 99 75 86 72 07 17 74 41 65 31 66 35 20 83 33 74 87 53 90 88 23 48 22 86 33 79 85 78 34 76 19 53 15 26 74 33 35 66 35 29 72 16 81 86 03 11 60 36 59 46 53 35 07 53 39 49 42 61 42 92 97 01 91 82 83 16 98 95 37 32 31 83 79 94 24 02 56 62 33 44 42 34 99 44 13 74 70 07 11 47 36 09 95 81 80 65 32 96 00 74 05 36 40 98 32 32 99 38 54 16 00 11 13 30 75 86 15 91 70 62 53 19 32 25 38 45 57 62 05 26 06 66 49 76 86 46 78 13 86 65 59 19 64 09 94 13 11 22 09 47 47 07 39 93 74 08 48 50 92 39 29 27 48 24 54 76 85 24 43 51 59 21 44 58 27 93 24 83 19 32 41 14 19 97 62 68 70 88 36 80 02 03 82 91 74 43 72 51 37 64 00 52 22 59 23 48 62 30 89 84 81 29 74 43 31 65 33 14 16 10 20 71 47 94 50 27 76 16 05 74 11 13 78 01 36 32 52 30 87 77 62 88 87 43 36 97 83 21 05 14 66 09 08 85 03 95 26 74 30 53 06 21 70 67 00 01 99 43 98 07 67 68 74 99 51 48 94 89 77 86 36 96 75 00 90 24 94 53 89 11 43 96 69 36 18 86 05 18 47 57 63 47 07 58 81 58 05 31 35 34 39 14 90 80 88 30 60 09 62 15 51 13 65 16 25 46 96 89 22 52 40 47 51 15 84 83 87 34 27 88 18 07 85 53 92 69 00 56 62 12 20 00 29 22 40 69 25 07 22 95 19 52 54 85 40 91 21 28 22 12 96 50 95 81 76 95 58 07 26 89 90 60 32 99 59 55 71 58 66 34 17 35 94 76 78 07 57 62 16 45 47 46 85 03 79 81 38 52 70 90 37 64 75 60 33 24 04 98 68 36 66

ตารางที่ 1 เลขส่มุ (ต่อ) 09 28 22 58 44 79 13 97 84 35 35 42 84 35 61 69 79 96 33 14 12 99 19 35 16 23 39 49 42 06 93 43 23 78 36 94 91 92 68 46 02 55 57 44 10 94 91 54 81 99 05 28 03 74 70 93 62 20 43 45 15 09 21 95 10 18 09 41 66 13 78 23 45 00 01 95 49 19 79 76 38 30 63 21 92 82 63 95 46 24 72 43 49 26 06 23 19 17 46 93 78 52 10 01 04 18 24 87 55 83 90 32 65 07 85 54 03 46 62 51 35 77 41 46 92 96 35 54 45 79 85 93 24 40 53 75 70 42 08 40 86 58 38 39 40 52 45 67 37 66 77 96 33 11 51 32 36 49 16 91 47 35 74 03 38 23 43 52 40 65 08 45 89 53 66 07 52 01 12 94 23 23 80 17 48 41 69 06 73 28 54 81 43 77 77 10 05 74 23 32 38 42 30 23 09 70 70 38 57 36 46 14 81 42 58 29 23 61 21 52 05 08 86 58 25 02 46 36 55 33 21 19 96 05 55 33 92 80 18 17 07 39 68 92 15 30 72 22 21 02 83 76 16 08 73 43 25 38 41 45 60 83 32 59 83 01 29 14 13 49 20 36 80 71 26 14 38 70 63 45 80 85 40 92 79 43 52 90 63 18 38 38 47 47 61 41 19 63 74 80 51 32 19 22 46 80 08 87 70 74 88 72 25 67 36 66 16 44 94 31 66 91 93 16 78 72 47 20 00 08 80 89 01 80 02 94 81 33 19 00 54 15 58 34 36 35 35 25 41 31 05 46 65 53 06 93 12 81 84 64 74 45 79 05 61 72 84 81 18 34 79 98 26 84 16 39 52 87 24 84 82 47 42 55 93 48 54 53 52 47 18 61 91 36 74 18 61 11 92 41 81 61 61 87 11 53 34 24 42 76 75 12 21 17 24 74 62 77 37 07 58 31 91 59 97 07 58 61 61 20 82 64 12 28 20 92 90 41 31 41 32 39 21 97 63 61 19 96 79 40 90 76 70 42 35 13 57 41 72 00 69 60 26 37 42 78 46 42 25 01 18 62 79 08 72 40 18 82 81 93 29 59 38 86 27 94 97 21 15 98 62 09 53 67 87 00 44 15 89 97 34 41 48 21 57 86 88 75 50 87 19 15 20 00 23 12 30 28 07 83 32 62 46 86 91 63 43 97 53 63 44 98 97 68 22 36 02 40 08 67 76 37 84 16 05 65 96 17 34 88 67 04 90 90 70 93 39 94 55 47 94 45 87 42 84 05 04 14 98 07 20 28 83 40 60 79 49 50 41 46 52 16 29 02 86 54 15 83 42 43 46 97 83 54 82 59 36 29 59 38 91 70 43 05 52 04 73 72 10 31 75 05 19 30 29 47 66 56 43 82 99 78 29 34 78 19 61 27 84 30 11 66 19 47 70 77 60 36 56 69 86 86 81 26 65 30 01 27 59 89 39 14 14 74 00 28 00 06 42 38 73 25 87 17 94 31 34 02 62 56 66 45 33 70 16 64 75 68 04 57 08 74 71 28 36 03 46 95 06 78 03 27 44 34 23 66 67 78 25 56 92 90 15 18 78 56 44 12 29 98 29 71 83 84 47 06 45 32 53 11 07 56 55 37 71 03 55 19 00 70 09 48 39 40 50 45 93 81 81 35 36 90 84 33 21 11 07 35 18 03 98 88 46 62 09 06 83 05 36 56 14 66 35 63 46 71 43 00 49 09 19 81 80 57 07 27 36 98 68 82 53 47 30 75 41 53 63 37 08 63 03 74 81 28 22 19 36 04 90 88 59 06 67 59 74 63 33 52 04 83 43 51 43 74 81 58 27 82 69 67 49 32 54 39 51 91 64 79 37 83 64 16 94 90 22 98 58 80 94 95 49 82 95 90 68 38 83 10 48 38 83 60 59 24 19 39 54 20 77 72 71 56 87 56 73 35 18 58 97 59 44 90 17 42 91 24 89 58 85 30 70 77 43 54 39 46 75 87 04 72 70 20 79 26 75 91 62 36 12 75 35 72 02 65 56 95 59 62 00 94 73 75 08 57 88 34 26 40 17 03 46 83 36 52 48 14 14 15 34 10 38 64 90 63 43 57 25 66 13 42 72 70 97 53 18 90 37 93 75 62 27 41 67 56 70 92 17 67 25 35 93 11 95 60 77 06 88 61 82 44 92 34 43 13 74 82 07 10 74 29 81 00 74 77 49 40 74 45 69 74 23 33 68 88 21 53 84 11 05 36

ตารางที่ 2 พืน้ ทีใ่ ตโ้ ค้งปกติ Z .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 0.0 .0000 .0040 .0080 .0210 .0160 .0199 .0239 .0279 .0319 .0359 0.1 .0398 .0438 .0478 .0517 .0557 .0596 .0636 .0675 .0714 .0753 0.2 .0793 .0832 .0871 .0910 .0948 .0987 .1026 .1064 .1103 .1141 0.3 .1179 .1217 .1255 .1293 .1331 .1368 .1406 .1443 .1480 .1517 0.4 .1554 .1591 .1628 .1664 .1700 .1736 .1772 .1808 .1844 .1879 0.5 .1915 .1950 .1985 .2019 .2054 .2088 .2123 .2157 .2190 .2224 0.6 .2257 .2291 .2324 .2357 .2389 .2422 .2454 .2486 .2517 .2549 0.7 .2580 .2611 .2642 .2673 .2703 .2734 .2764 .2794 .2823 .2852 0.8 .2881 .2910 .2939 .2967 .2995 .3023 .3051 .3078 .3106 .3133 0.9 .3159 .3186 .3212 .3238 .3264 .3289 .3315 .3340 .3365 .3389 1.0 .3413 .3438 .3461 .3485 .3508 .3531 .3554 .3577 .3599 .3621 1.1 .3643 .3665 .3686 .3708 .3729 .3749 .3770 .3790 .3810 .3830 1.2 .3849 .3869 .3888 .3907 .3925 .3944 .3962 .3980 .3997 .4015 1.3 .4032 .4049 .4066 .4082 .4099 .4115 .4131 .4147 .4162 .4177 1.4 .4192 .4207 .4222 .4236 .4251 .4265 .4279 .4292 .4306 .4319 1.5 .4332 .4345 .4357 .4370 .4382 .4394 .4406 .4418 .4429 .4441 1.6 .4452 .4463 .4474 .4484 .4495 .4505 .4515 .4525 .4535 .4545 1.7 .4554 .4564 .4573 .4582 .4591 .4599 .4608 .4616 .4625 .4633 1.8 .4641 .4649 .4656 .4664 .4671 .4678 .4686 .4693 .4699 .4706 1.9 .4713 .4719 .4726 .4732 .4738 .4744 .4750 .4756 .4761 .4767 2.0 .4772 .4778 .4783 .4788 .4793 .4798 .4803 .4808 .4813 .4817 2.1 .4821 .4826 .4830 .4834 .4838 .4842 .4846 .4850 .4854 .4857 2.2 .4861 .4864 .4868 .4871 .4875 .4878 .4881 .4884 .4887 .4890 2.3 .4893 .4896 .4898 .4901 .4904 .4906 .4909 .4911 .4913 .4916 2.4 .4918 .4920 .4922 .4925 .4927 .4929 .4931 .4932 .4934 .4936 2.5 .4938 .4940 .4941 .4943 .4945 .4946 .4948 .4949 .4951 .4952 2.6 .4953 .4955 .4956 .4957 .4959 .4960 .4961 .4962 .4963 .4964 2.7 .4965 .4966 .4967 .4968 .4969 .4970 .4971 .4972 .4973 .4974 2.8 .4974 .4975 .4976 .4977 .4977 .4978 .4979 .4979 .4980 .4981 2.9 .4981 .4982 .4982 .4983 .4984 .4984 .4985 .4985 .4986 .4986 3.0 .4987 .4987 .4987 .4988 .4989 .4989 .4989 .4989 .4990 .4990 3.1 .4990 .4991 .4991 .4991 .4992 .4992 .4992 .4992 .4993 .4993 3.2 .4993 .4993 .4994 .4994 .4994 .4994 .4994 .4995 .4995 .4995 3.3 .4995 .4995 .4995 .4996 .4996 .4996 .4996 .4996 .4996 .4997

ตารางที่ 3 การแจกแจงแบบที  สาหรับการทดสอบแบบทางเดยี ว df .10 .05 .025 .01 .005 .0005  สาหรบั การทดสอบแบบสองทาง .20 .10 .05 .02 .01 .001 1 3.078 6.314 12.706 31.821 63.657 636.619 2 1.886 2.920 4.303 6.965 9.925 31.598 3 1.638 2.353 3.182 4.541 5.841 12.941 4 1.533 2.132 2.776 3.747 4.604 8.610 5 1.476 2.015 2.571 3.365 4.032 6.859 6 1.440 1.943 2.4447 3.143 3.707 5.959 7 1.415 1.895 2.365 2.998 3.499 5.405 8 1.397 1.860 2.306 2.896 3.355 5.041 9 1.383 1.833 2.262 2.821 3.250 4.781 10 1.372 1.812 2.228 2.764 3.169 4.587 11 1.363 1.796 2.201 2.718 3.106 4.437 12 1.356 1.782 2.179 2.681 3.055 4.318 13 1.350 1.771 2.160 2.650 3.012 4.221 14 1.345 1.761 2.145 2.624 2.977 4.140 15 1.341 1.753 2.131 2.602 2.947 4.073 16 1.337 1.746 2.120 2.583 2.921 4.015 17 1.333 1.740 2.110 2.567 2.898 3.965 18 1.330 1.734 2.101 2.552 2.878 3.922 19 1.328 1.729 2.093 2.539 2.861 3.883 20 1.325 1.725 2.086 2.528 2.845 3.850 21 1.323 1.721 2.080 2.518 2.831 3.819 22 1.321 1.717 2.074 2.508 2.819 3.792 23 1.319 1.714 2.069 2.500 2.807 3.767 24 1.318 1.711 2.064 2.492 2.797 3.745 25 1.316 1.708 2.060 2.485 2.787 3.725 26 1.315 1.706 2.056 2.470 2.779 3.707 27 1.314 1.703 2.052 2.473 2.771 3.690 28 1.313 1.701 2.048 2.467 2.763 3.674 29 1.311 1.699 2.045 2.462 2.756 3.659 30 1.310 1.697 2.042 2.457 2.750 3.646 40 1.303 1.684 2.021 2.433 2.704 3.551 60 1.296 1.671 2.000 2.390 2.660 3.460 120 1.289 1.658 1.980 2.358 2.617 3.373 ∞ 1.282 1.645 1.960 2.326 2.576 3.291

ตารางที่ 4 การแจกแจงแบบไคสแควร์  df .995 .990 .975 .950 .900 .100 .050 .025 .010 .005 1 .000 .000 .001 .004 .016 2.706 3.841 5.024 6.635 7.879 1 2 .010 .020 .051 .103 .211 4.605 5.991 7.378 9.210 10.60 2 3 .072 .115 .216 .352 .584 6.251 7.815 9.348 11.34 12.84 3 4 .207 .297 .484 .711 1.064 7.779 9.488 11.14 13.28 14.86 4 5 .412 .554 .831 1.145 1.610 9.326 11.07 12.83 15.09 16.75 5 6 .676 .872 1.237 1.635 2.204 10.64 12.59 14.45 16.81 18.55 6 7 .989 1.239 1.690 2.167 2.833 12.02 14.07 16.01 18.48 20.28 7 8 1.344 1.646 2.180 2.733 3.490 13.36 15.51 17.53 20.09 21.95 8 9 1.735 2.088 2.700 3.325 4.168 14.68 16.92 19.02 12.67 23.53 9 10 2.156 2.558 3.247 3.940 4.865 15.99 18.31 20.48 23.21 25.19 10 11 2.603 3.053 3.816 4.575 5.578 17.28 19.68 21.92 24.72 26.76 11 12 3.074 3.571 4.404 5.226 6.304 18.55 21.03 23.34 26.22 28.30 12 13 3.565 4.107 5.009 5.892 7.042 19.81 22.36 24.74 27.69 29.82 13 14 4.075 4.660 5.629 6.571 7.790 21.06 23.68 26.12 29.14 31.32 14 15 4.601 5.229 6.262 7.261 8.547 22.31 25.00 27.49 30.58 32.80 15 16 5.142 5.812 6.908 7.962 9.312 23.54 26.30 28.85 32.00 34.27 16 17 5.697 6.408 7.564 8.672 10.09 24.77 27.59 30.19 33.41 35.72 17 18 6.265 7.015 8.231 9.390 10.86 25.99 28.87 31.53 34.81 37.16 18 19 6.844 7.633 8.907 10.12 11.65 27.20 30.14 32.85 36.19 38.58 19 20 7.434 8.260 9.591 10.85 12.44 28.41 31.41 34.17 37.57 40.00 20 21 8.034 8.897 10.28 11.59 13.24 29.62 32.67 35.48 38.93 41.40 21 22 8.643 9.542 10.98 12.34 14.04 30.81 33.92 36.78 40.29 42.80 22 23 9.260 10.20 11.69 13.90 14.85 32.01 35.17 38.08 41.64 44.18 23 24 9.886 10.86 12.40 13.85 15.56 33.20 36.42 39.36 42.98 45.56 24 25 10.52 11.52 13.12 14.61 16.41 34.38 37.65 40.65 44.31 46.93 25 26 11.16 12.20 13.84 15.38 17.29 35.56 38.89 41.92 45.64 48.29 26 27 11.81 12.88 14.57 16.15 18.11 36.74 40.11 43.19 46.96 49.64 27 28 12.46 13.56 15.31 16.93 18.94 37.92 41.34 44.46 48.28 50.99 28 29 13.12 14.26 16.05 17.71 19.77 39.09 42.56 45.72 49.59 52.34 29 30 13.79 14.95 16.79 18.49 20.60 40.26 43.77 46.98 50.89 53.67 30 40 20.71 22.16 24.43 26.51 29.05 51.81 55.76 59.34 63.69 66.77 40 50 27.99 29.71 32.36 34.76 37.69 63.17 67.50 71.42 76.15 79.49 50 60 35.53 37.48 40.48 43.19 46.46 74.40 79.08 83.30 88.38 91.95 60 70 43.28 45.44 48.76 51.74 55.33 85.53 90.53 95.02 100.4 104.2 70 80 51.17 53.54 57.15 60.39 64.28 96.58 101.9 106.6 112.3 116.3 80 90 59.20 61.75 65.65 69.13 73.29 107.6 113.1 118.1 124.1 128.3 90 100 67.33 70.06 74.22 77.93 82.36 118.5 124.3 129.6 135.8 140.2 100

ตารางที่ 5 การแจกแจงแบบเอฟ   1 2 3 4  ของเศษ 6 7 8 9 ของส่ วน 5 .100 39.86 49.50 53.59 55.83 58.20 58.91 59.44 59.86 1 .050 161.40 199.50 215.70 224.60 57.24 234.00 236.80 238.90 240.50 .025 647.80 799.50 864.20 899.60 230.20 937.10 942.20 956.70 963.30 .010 4052.00 4999.50 5403.00 5625.00 921.80 5859.00 5928.00 5982.00 6022.00 .005 16211.00 20000.00 21615.00 22500.00 5764.00 23715.00 23715.00 23925.00 24091.00 23056.00 2 .100 8.53 9.00 9.16 9.24 9.29 9.33 9.35 9.37 9.38 .050 18.51 19.00 19.16 19.25 19.30 19.33 19.35 19.37 19.38 .025 38.51 39.00 30.17 39.25 39.30 39.33 39.36 39.37 39.39 .010 98.50 99.00 99.17 99.25 99.30 99.33 99.36 99.37 99.39 .005 198.50 199.00 199.20 199.20 199.30 199.33 199.40 199.40 199.40 3 .100 5.54 5.46 5.39 5.34 5.31 5.28 5.27 5.25 5.24 .050 10.13 9.55 9.28 9.12 9.01 8.94 8.89 8.85 8.81 .025 17.44 16.04 15.44 15.10 14.88 14.73 14.62 14.54 14.47 .010 34.12 30.82 29.46 28.71 28.24 27.91 27.67 27.49 27.35 .005 55.55 49.80 47.47 46.19 45.39 44.84 44.43 44.13 43.88 4 .100 4.54 4.32 4.19 4.11 4.05 4.01 2.98 3.95 3.94 .050 7.71 6.94 6.59 6.39 6.26 6.16 6.09 6.04 6.00 .025 12.22 10.65 9.98 9.60 9.36 9.20 9.07 8.98 8.90 .010 21.20 18.00 16.69 15.98 15.52 15.21 14.98 14.80 14.66 .005 31.33 26.28 24.26 23.15 22.46 21.97 21.62 21.35 21.14 5 .100 4.06 3.78 3.62 3.52 3.45 3.40 3.37 3.34 3.32 .050 6.61 5.79 5.41 5.19 5.05 4.95 4.88 4.82 4.77 .025 10.01 8.43 7.76 7.39 7.15 6.98 6.85 6.76 6.68 .010 16.26 13.27 12.06 11.39 10.97 10.67 10.46 10.29 10.16 .005 22.78 18.31 16.53 15.56 14.94 14.51 14.20 13.96 13.77 6 .100 3.78 3.46 3.29 3.18 3.11 3.05 3.01 2.98 2.96 .050 5.99 5.14 4.76 4.53 4.39 4.28 4.21 4.15 4.10 .025 8.81 7.26 6.60 6.23 5.99 5.82 5.70 5.60 5.52 .010 13.75 10.92 9.78 9.15 8.75 8.47 8.26 8.10 7.98 .005 18.63 14.54 12.92 12.03 11.46 11.07 10.79 10.57 10.89 7 .100 3.59 3.26 3.07 2.96 2.88 2.83 2.78 2.75 8.72 .050 5.59 4.74 4.35 4.12 3.97 3.87 3.79 3.73 3.68 .025 8.07 6.54 5.89 5.52 5.29 5.12 4.99 4.90 4.82 .010 12.25 9.55 8.45 7.85 7.46 7.19 6.99 6.84 6.72 .005 16.24 12.40 10.88 10.05 9.52 9.16 8.89 8.68 8.51 .100 3.46 3.11 2.92 2.81 2.73 2.67 2.62 2.59 2.56 8 .050 5.32 4.46 4.07 3.84 3.69 3.58 3.50 3.44 3.39 .025 7.57 6.06 5.42 5.05 4.82 4.65 4.53 4.43 4.36 .010 11.26 8.65 7.59 7.01 6.63 6.37 6.18 6.03 5.91 .005 14.69 11.04 9.60 8.81 8.30 .95 7.69 7.50 7.34 9 .100 3.36 3.01 2.81 2.69 2.61 2.55 2.51 2.47 2.44 .050 5.12 4.26 3.86 3.63 3.48 3.37 3.29 3.23 3.18 .025 7.21 5.71 5.08 4.72 4.48 4.32 4.20 4.10 4.03 .010 10.56 8.02 6.99 6.42 6.06 5.80 5.61 5.47 5.35 .005 13.61 10.11 8.72 7.96 7.47 7.13 6.88 6.69 6.54

ตารางที่ 5 การแจกแจงแบบเอฟ (ตอ่ )   ของเศษ  ของส่ วน 1 2 3 4 5 6 7 8 9 10 .100 3.29 2.92 2.73 2.61 2.52 2.46 2.41 2.38 2.35 .050 4.96 4.10 3.71 3.48 3.33 3.22 3.14 3.07 3.02 .025 6.94 5.46 4.83 4.47 4.24 4.07 3.95 3.85 3.78 .010 10.04 7.56 6.55 5.99 5.64 5.39 5.20 5.06 4.94 .005 12.83 9.43 8.08 7.34 6.87 6.45 6.30 6.12 5.97 .100 3.23 2.86 2.66 2.54 2.45 2.39 2.34 2.30 2.27 .050 4.84 3.98 3.59 3.36 3.20 3.09 3.01 2.95 2.90 11 .025 6.72 5.26 4.63 4.28 4.04 3.88 3.76 3.66 3.59 .010 9.65 7.21 6.22 5.67 5.32 5.07 4.89 4.74 4.63 .005 12.23 8.91 7.60 6.88 6.42 6.10 5.86 5.68 5.54 .100 3.18 2.81 2.61 2.48 2.39 2.33 2.28 2.24 2.21 .050 4.75 3.89 3.49 3.26 3.11 3.00 2.91 2.85 2.80 12 .025 6.55 5.10 4.47 4.12 3.89 3.73 3.61 3.51 3.44 .010 9.33 6.93 5.95 5.41 5.06 4.82 4.64 4.50 4.39 .005 11.75 8.51 7.23 6.52 6.07 5.67 5.52 5.35 5.20 .100 3.14 2.76 2.56 2.43 2.35 2.28 2.23 2.20 2.16 .050 4.67 3.81 3.41 3.18 3.03 2.92 2.83 2.77 2.71 13 .025 6.41 4.97 4.35 4.00 3.77 3.60 3.48 3.39 3.31 .010 9.07 6.70 5.74 5.21 4.86 4.62 4.44 4.30 4.19 .005 11.37 8.19 6.93 6.23 5.79 5.48 5.25 5.08 4.94 .100 3.10 2.73 2.52 2.39 2.31 2.24 2.19 2.15 2.12 .050 4.60 3.74 3.34 3.11 2.96 2.85 2.76 2.70 2.65 14 .025 6.30 4.86 4.24 3.89 3.66 3.50 3.38 3.29 3.21 .010 8.86 6.51 5.56 5.04 4.69 4.46 4.28 4.14 4.03 .005 11.06 7.92 6.68 6.00 5.56 5.26 5.03 4.86 4.72 .100 3.07 2.70 2.49 2.36 2.27 2.21 2.16 2.12 2.09 .050 4.54 3.68 3.29 3.06 2.90 2.79 2.17 2.64 2.59 15 .025 6.20 4.77 4.15 3.80 3.58 3.41 3.29 3.20 3.12 .010 8.68 6.36 5.42 4.89 4.56 4.32 4.14 4.00 3.89 .005 10.80 7.70 6.48 5.80 5.37 5.07 4.85 4.67 4.54 .100 3.05 2.67 2.46 2.33 2.24 2.18 2.13 2.09 2.06 .050 4.49 3.63 3.24 3.01 2.85 2.74 2.66 2.59 2.54 16 .025 6.12 4.69 4.08 3.73 3.50 3.34 3.22 3.12 3.05 .010 8.53 6.23 5.29 4.77 4.44 4.20 4.03 3.89 3.78 .005 10.58 7.51 6.30 5.64 5.21 4.91 4.69 4.52 4.38 .100 3.03 2.64 2.44 2.31 2.22 2.15 2.10 2.06 2.03 .050 4.45 3.59 3.20 2.96 2.81 2.70 2.61 2.55 2.49 17 .025 6.04 4.62 4.01 3.66 3.44 3.28 3.16 3.06 2.98 .010 8.40 6.11 5.18 4.67 4.34 4.10 3.93 3.79 3.68 .005 10.38 7.35 6.16 5.50 5.04 4.78 4.56 4.39 4.25 .100 3.01 2.62 2.42 2.29 2.20 2.13 2.08 2.04 2.00 .050 4.41 3.55 3.16 2.93 2.77 2.66 2.58 2.51 2.46 18 .025 5.98 4.56 3.95 3.61 3.38 3.22 3.10 3.01 2.93 .010 8.29 6.01 5.09 4.58 4.25 4.01 3.84 3.71 3.60 .005 10.22 7.21 6.03 5.37 4.96 4.66 4.44 4.28 4.14

ตารางที่ 5 การแจกแจงแบบเอฟ (ตอ่ )   ของเศษ  ของส่ วน 1 2 3 4 5 6 7 8 9 19 .100 2.99 2.61 2.40 2.27 2.18 2.11 2.06 2.02 1.98 .050 4.38 3.52 3.13 2.90 2.74 2.63 2.54 2.48 2.42 .025 5.92 4.51 3.90 3.56 3.33 3.17 3.05 2.96 2.88 .010 8.18 5.93 5.01 4.50 4.17 3.94 3.77 3.63 3.52 .005 10.07 7.09 5.92 5.27 4.85 4.56 4.34 4.18 4.04 .100 2.97 2.59 2.38 2.25 2.16 2.09 2.04 2.00 1.96 .050 4.35 3.49 3.10 2.87 2.71 2.60 2.51 2.45 2.39 20 .025 5.87 4.46 3.86 3.51 3.29 3.13 3.01 2.91 2.84 .010 8.10 5.85 4.94 4.43 4.10 3.87 3.70 3.56 3.46 .005 9.94 6.99 5.82 5.17 4.76 4.47 4.26 4.09 3.96 .100 2.96 2.57 2.36 2.23 2.14 2.08 2.02 1.98 1.95 .050 4.32 3.47 3.07 2.84 2.68 2.57 2.49 2.42 2.37 21 .025 5.83 4.42 3.82 3.48 3.25 3.09 2.97 2.87 2.80 .010 8.02 5.78 4.87 4.37 4.04 3.81 3.64 3.51 3.40 .005 9.83 6.89 5.73 5.09 4.68 4.39 4.18 4.01 3.88 .100 2.95 2.56 2.35 2.22 2.13 2.06 2.01 1.97 1.93 .050 4.30 3.44 3.05 2.82 2.66 2.55 2.46 2.40 2.34 22 .025 5.79 4.38 3.78 3.44 3.22 3.05 2.93 2.84 2.76 .010 7.95 5.72 4.82 4.31 3.99 3.76 3.59 3.45 3.35 .005 9.73 6.81 5.65 5.02 4.61 4.32 4.11 3.94 3.81 .100 2.94 2.55 2.34 2.21 2.11 2.05 1.99 1.95 1.92 .050 4.28 3.42 3.03 2.80 2.64 2.53 2.44 2.37 2.32 23 .025 5.75 4.35 3.75 3.41 3.18 3.02 2.90 2.81 2.73 .010 7.88 5.66 4.76 4.26 3.94 3.71 3.54 3.41 3.30 .005 9.63 6.73 5.58 4.95 4.54 4.26 4.05 3.88 3.75 .100 2.93 2.54 2.33 2.19 2.10 2.04 1.98 1.94 1.91 .050 4.26 3.40 3.01 2.78 2.62 2.51 2.42 2.36 2.30 24 .025 5.72 4.32 3.72 3.38 3.15 2.99 2.87 2.78 2.70 .010 7.82 5.61 4.72 4.22 3.90 3.67 3.50 3.36 3.26 .005 9.55 6.66 5.52 4.89 4.49 4.20 3.99 3.83 3.69 .100 2.92 2.53 2.32 2.18 2.09 2.02 1.97 1.93 1.89 .050 4.24 3.39 2.99 2.76 2.60 2.49 2.40 2.34 2.28 25 .025 5.69 4.29 3.69 3.35 3.13 2.97 2.85 2.75 2.68 .010 7.77 5.57 4.68 4.18 3.85 3.63 3.46 3.32 3.22 .005 9.48 6.60 5.46 4.84 4.43 4.15 3.94 3.78 3.64 .100 2.91 2.52 2.31 2.17 2.08 2.01 1.96 1.92 1.88 .050 4.23 3.37 2.98 2.74 2.59 2.47 2.39 2.32 2.27 26 .025 5.66 4.27 3.67 3.33 3.10 2.94 2.82 2.73 2.65 .010 7.72 5.53 4.64 4.14 3.82 3.59 3.42 3.29 3.18 .005 9.41 6.54 5.41 4.79 4.38 4.10 3.89 3.73 3.60 .100 2.90 2.51 2.30 2.17 2.07 2.00 1.95 1.91 1.87 .050 4.21 3.35 2.96 2.73 2.57 2.46 2.37 2.31 2.25 27 .025 5.63 4.24 3.65 3.31 3.08 2.96 2.80 2.71 2.63 .010 7.68 5.49 4.60 4.11 3.78 3.56 3.39 3.26 3.15 .005 9.34 6.49 5.36 4.74 4.34 4.06 3.85 3.69 3.56

ตารางที่ 5 การแจกแจงแบบเอฟ (ต่อ)   ของเศษ  ของส่ วน 1 2 3 4 5 6 7 8 9 28 .100 2.89 2.50 2.29 2.16 2.06 2.00 1.94 1.90 1.87 .050 4.20 3.34 2.95 2.71 2.56 2.45 2.36 2.29 2.24 .025 5.61 4.22 3.63 3.29 3.06 2.90 2.78 2.69 2.61 .010 7.64 5.45 4.57 4.07 3.75 3.53 3.36 3.23 3.12 .005 9.28 6.44 5.32 4.70 4.30 4.02 3.81 3.65 3.52 .100 2.89 2.50 2.28 2.15 2.06 1.99 1.93 1.89 1.86 .050 4.18 3.33 2.93 2.70 2.55 2.43 2.35 2.28 2.22 29 .025 5.59 4.20 3.61 3.27 3.04 2.88 2.76 2.67 2.59 .010 7.60 5.42 4.54 4.04 3.73 3.50 3.33 3.20 3.09 .005 9.23 6.40 5.28 4.66 4.26 3.98 3.77 3.61 3.48 .100 2.88 2.49 2.28 2.14 2.05 1.98 1.93 1.88 1.85 .050 4.17 3.32 2.92 2.69 2.53 2.42 2.33 2.27 2.21 30 .025 5.57 4.18 3.59 3.25 3.03 2.87 2.75 2.65 2.57 .010 7.56 5.39 4.51 4.02 3.70 3.47 3.30 3.17 3.07 .005 9.18 6.35 5.24 4.62 4.23 3.95 3.74 3.58 3.45 .100 2.84 2.44 2.23 2.09 2.00 1.93 1.87 1.83 1.79 .050 4.08 3.23 2.84 2.61 2.45 2.34 2.25 2.18 2.12 40 .025 5.42 4.05 3.46 3.13 2.90 2.74 2.62 2.53 2.45 .010 7.31 5.18 4.31 3.83 3.51 3.29 3.12 2.99 2.89 .005 8.83 6.07 4.98 4.37 3.99 3.71 3.51 3.35 3.22 .100 2.79 2.39 2.18 2.04 1.95 1.87 1.82 1.77 1.74 .050 4.00 3.15 2.76 2.53 2.37 2.25 2.17 2.10 2.04 60 .025 5.29 3.93 3.94 3.01 2.79 2.63 2.51 2.41 2.33 .010 7.08 4.98 4.13 3.65 3.34 3.12 2.95 2.82 2.72 .005 8.49 5.79 4.73 4.14 3.76 3.49 3.29 3.13 3.01 .100 2.75 2.35 2.13 1.99 1.90 1.82 1.77 1.72 1.68 .050 3.92 3.07 2.68 2.45 2.29 2.17 2.09 2.02 1.96 120 .025 5.15 3.80 3.23 2.89 2.67 2.52 2.39 2.30 2.22 .010 6.85 4.79 3.95 3.48 3.17 2.96 2.79 2.66 2.56 .005 8.18 5.54 4.50 3.92 3.55 3.28 3.09 2.93 2.81 .100 2.71 2.30 2.08 1.94 1.85 1.77 1.72 1.67 1.63 .050 3.84 3.00 2.60 2.37 2.21 2.10 2.01 1.94 1.88 ∞ .025 5.02 3.69 3.12 2.79 2.57 2.41 2.29 2.19 2.11 .010 6.63 4.61 3.78 3.32 3.02 2.80 2.64 2.51 2.41 .005 7.88 5.30 4.28 3.72 3.35 3.09 2.90 2.74 2.62

ตารางที่ 5 การแจกแจงแบบเอฟ (ตอ่ )  1  ของเศษ 2 10 12 15 20 24 30 40 60 120 ∞  3 60.19 60.71 61.22 61.74 62.00 62.26 62.53 62.79 63.06 63.33 .100 4 241.9 243.9 245.9 248.0 249.1 250.1 251.1 252.2 253.3 254.3 .050 5 968.6 976.7 984.9 993.1 997.2 1001 1006 1010 1014 1018 .025 6 6056 6106 6157 6209 6235 6261 6287 6313 6339 6366 .010 7 24224 24426 24630 24836 24940 25044 25148 25253 25359 25465 .005 8 9 9.39 9.41 9.42 9.44 9.45 9.46 9.47 9.47 9.48 9.49 .100 19.40 19.41 19.43 19.45 19.45 19.46 19.47 19.48 19.49 19.50 .050 39.40 38.41 39.43 39.45 39.46 39.46 39.47 39.48 39.49 39.50 .025 99.40 99.42 99.43 99.45 99.46 99.47 99.47 99.48 99.49 99.50 .010 199.4 199.4 199.4 199.4 199.5 199.5 199.5 199.5 199.5 199.5 .005 5.23 5.22 5.20 5.18 5.18 5.17 5.16 5.15 5.14 5.13 .100 8.79 8.74 8.70 8.66 8.64 8.62 8.59 8.57 8.55 8.53 .050 14.24 14.34 14.25 14.17 14.12 14.08 14.04 13.99 13.95 13.90 .025 27.23 27.05 26.87 26.69 26.60 26.50 26.41 26.32 26.22 26.13 .010 43.69 43.39 43.08 42.78 42.62 42.47 42.31 42.15 41.99 41.83 .005 3.92 3.90 3.87 3.84 3.83 3.82 3.80 3.79 3.78 3.76 .100 5.96 5.91 5.86 5.80 5.77 5.57 5.72 5.69 5.66 5.63 .050 8.84 8.75 8.66 8.56 8.51 8.46 8.41 8.36 8.31 8.26 .025 14.55 14.37 14.20 14.02 13.93 13.84 13.75 13.65 13.56 13.46 .010 20.97 20.70 20.44 20.17 20.03 19.89 19.75 19.61 19.47 19.32 .005 3.30 3.27 3.24 3.21 3.19 3.17 3.16 3.14 3.12 3.10 .100 4.74 4.68 4.62 4.56 4.53 4.50 4.46 4.43 4.40 4.36 .050 6.62 6.52 6.43 6.33 6.28 6.23 6.18 6.12 6.07 6.02 .025 10.05 9.89 9.72 9.55 9.47 9.38 9.29 9.20 9.11 9.02 .010 13.62 13.38 13.15 12.90 12.78 12.66 12.53 12.40 12.27 12.14 .005 2.94 2.90 2.87 2.84 2.82 2.80 2.78 2.76 2.74 2.72 .100 4.06 4.00 3.94 3.87 3.84 3.81 3.77 3.74 3.70 3.67 .050 5.46 5.37 5.27 5.17 5.12 5.07 5.01 4.96 4.90 4.85 .025 7.87 7.72 7.56 7.40 7.31 7.23 7.14 7.06 6.97 6.88 .010 10.25 10.03 9.81 9.59 9.47 9.36 9.24 9.12 9.00 8.88 .005 2.70 2.67 2.63 2.59 2.58 2.56 2.54 2.51 2.49 2.47 .100 3.64 3.57 3.51 3.44 3.41 3.38 3.34 3.30 3.27 3.23 .050 4.76 4.67 4.57 4.47 4.42 4.36 4.31 4.25 4.20 4.14 .025 6.62 6.47 6.31 6.16 6.07 5.99 5.91 5.82 5.74 5.65 .010 8.38 8.18 7.97 7.75 7.65 7.53 7.42 7.31 7.19 7.08 .005 2.54 2.50 2.46 2.42 2.40 2.38 2.36 2.34 2.32 2.29 .100 3.35 3.28 3.22 3.15 3.12 3.08 3.04 3.01 2.97 2.93 .050 4.30 4.20 4.10 4.00 3.95 3.89 3.84 3.78 3.73 3.67 .025 5.81 5.67 5.52 5.36 5.28 5.20 5.12 5.03 4.95 4.86 .010 7.21 7.01 6.81 6.61 6.50 6.40 6.29 6.18 6.06 5.95 .005 2.42 2.38 2.34 2.30 2.28 2.25 2.23 2.21 2.18 2.16 .100 3.14 3.07 3.01 2.94 2.90 2.86 2.83 2.79 2.75 2.71 .050 3.96 3.87 3.77 3.67 3.61 3.56 3.51 3.45 3.39 3.33 .025 5.26 5.11 4.96 4.81 4.73 4.65 4.57 4.48 4.40 4.31 .010 6.42 6.23 6.03 5.83 5.73 5.62 5.52 5.41 5.30 5.19 .005

ตารางที่ 5 การแจกแจงแบบเอฟ (ตอ่ )  ของเศษ 10 12 15 20 24 30 40 60 120 ∞   2.32 2.28 2.24 2.20 2.18 2.16 2.13 2.11 2.08 2.06 .100 10 2.98 2.91 2.85 2.77 2.74 2.70 2.66 2.62 2.58 2.54 .050 3.72 3.62 3.52 3.42 3.37 3.31 3.26 3.20 3.14 3.08 .025 4.85 4.71 4.56 4.41 4.33 4.25 4.17 4.08 4.00 3.91 0.10 5.85 5.66 5.47 5.27 5.17 5.07 4.97 4.86 4.75 4.64 .005 2.25 2.21 2.17 2.12 2.10 2.08 2.05 2.03 2.00 1.97 .100 11 2.85 2.79 2.72 2.65 2.61 2.57 2.53 2.49 2.45 2.40 .050 3.53 3.43 3.33 3.23 3.17 3.12 3.06 3.00 2.94 2.88 .025 4.54 4.40 4.25 4.10 4.02 3.94 3.86 3.78 3.69 3.60 .010 5.42 5.24 5.05 4.86 4.76 4.65 4.55 4.44 4.34 4.23 .005 2.19 2.15 2.10 2.06 2.04 2.01 1.99 1.96 1.93 1.90 .100 12 2.75 2.69 2.62 2.54 2.51 2.47 2.43 2.38 2.34 2.30 .050 3.37 3.28 3.18 3.07 3.02 2.96 2.91 2.85 2.79 2.72 .025 4.30 4.16 4.01 3.86 3.78 3.70 3.62 3.54 3.45 3.36 .010 5.09 4.91 4.72 4.53 4.43 4.33 4.23 4.12 4.01 3.90 .005 2.14 2.10 2.05 2.01 1.98 1.96 1.93 1.90 1.88 1.85 .100 13 2.67 2.60 2.53 2.46 2.42 2.38 2.34 2.30 2.25 2.21 .050 3.25 3.15 3.05 2.95 2.89 2.84 2.78 2.72 2.66 2.60 .025 4.10 3.96 3.82 3.66 3.59 3.51 3.43 3.34 3.25 3.17 .010 4.82 4.46 4.46 4.27 4.17 4.07 3.97 3.87 3.76 3.65 .005 2.10 2.05 2.01 1.96 1.94 1.91 1.89 1.86 1.83 1.80 .100 14 2.60 2.53 2.46 2.39 2.35 2.31 2.27 2.22 2.18 2.13 .050 3.15 3.05 2.95 2.84 2.79 2.73 2.67 2.61 2.55 2.49 .025 3.94 3.80 3.66 3.51 3.43 3.35 3.27 3.18 3.09 3.00 .010 4.60 4.43 4.25 4.06 3.96 3.86 3.76 3.66 3.55 3.44 .005 2.06 2.02 1.97 1.92 1.90 1.87 1.85 1.82 1.79 1.76 .100 15 2.54 2.48 2.40 2.33 2.29 2.25 2.20 2.16 2.11 2.07 .050 3.06 2.96 2.86 2.76 2.70 2.64 2.59 2.52 2.46 2.40 .025 3.80 3.67 3.52 3.37 3.29 3.21 3.13 3.05 2.96 2.87 .010 4.42 4.25 4.07 3.88 3.79 3.69 3.58 3.48 3.37 3.26 .005 2.03 1.99 1.94 1.89 1.87 1.84 1.81 1.78 1.75 1.72 .100 16 2.49 2.42 2.35 2.28 2.24 2.19 2.15 2.11 2.06 2.01 .050 2.99 2.89 2.79 2.68 2.63 2.57 2.51 2.45 2.38 2.32 .025 3.69 3.55 3.41 3.26 3.18 3.10 3.02 2.93 2.84 2.75 .010 4.27 4.10 3.39 3.73 3.64 3.54 3.44 3.33 3.22 3.11 .005 2.00 1.96 1.91 1.86 1.84 1.81 1.78 1.75 1.72 1.69 .100 17 2.45 2.38 2.31 2.23 2.19 2.15 2.10 2.06 2.01 1.96 .050 2.92 2.82 2.72 2.62 2.56 2.50 2.44 2.38 2.32 2.25 .025 3.59 3.46 3.31 3.16 3.08 3.00 2.92 2.83 2.75 2.65 .010 4.14 3.97 3.79 3.61 3.51 3.41 3.31 3.21 3.10 2.98 .005 1.98 1.93 1.89 1.84 1.81 1.78 1.75 1.72 1.69 1.66 .100 18 2.41 2.34 2.27 2.19 2.15 2.11 2.06 2.02 1.97 1.92 .050 2.87 2.77 2.67 2.56 2.50 2.44 2.38 2.32 2.26 2.19 .025 3.51 3.37 3.23 3.08 3.00 2.92 2.84 2.75 2.66 2.57 .010 4.03 3.86 3.68 3.50 3.40 3.30 3.20 3.10 2.99 2.87 .005

ตารางที่ 5 การแจกแจงแบบเอฟ (ต่อ)  ของเศษ 10 12 15 20 24 30 40 60 120 ∞   1.96 1.91 1.86 1.81 1.76 1.76 1.73 1.70 1.67 1.63 .100 19 2.38 2.31 2.23 2.16 2.11 2.07 2.03 1.98 1.93 1.88 .050 2.82 2.72 2.62 2.51 2.45 2.39 2.33 2.27 2.20 2.13 .025 3.43 3.30 3.15 3.00 2.92 2.84 2.76 2.67 2.58 2.49 .010 3.93 3.76 3.59 3.40 3.31 3.21 3.11 3.00 2.89 2.78 .005 1.94 1.89 1.84 1.79 1.77 1.74 1.71 1.68 1.64 1.61 .100 20 2.35 2.28 2.20 2.12 2.08 2.04 1.99 1.95 1.90 1.84 .050 2.77 2.68 2.57 2.46 2.41 2.35 2.29 2.22 2.16 2.09 .025 3.37 3.23 3.09 2.94 2.86 2.78 2.69 2.61 2.52 2.42 .010 3.85 3.68 3.50 3.32 3.22 3.12 3.02 2.92 2.81 2.69 .005 1.92 1.87 1.83 1.78 1.75 1.72 1.69 1.66 1.62 1.59 .100 21 2.32 2.25 2.18 2.10 2.05 2.01 1.96 1.92 1.87 1.81 .050 2.73 2.64 2.53 2.42 2.37 2.31 2.25 2.18 2.11 2.04 .025 3.31 3.17 3.03 2.88 2.80 2.72 2.64 2.55 2.46 2.36 .010 3.77 3.60 3.43 3.24 3.15 3.05 2.95 2.84 2.73 2.61 .005 1.90 1.86 1.81 1.76 1.73 1.70 1.67 1.64 1.60 1.57 .100 22 2.30 2.23 2.15 2.07 2.03 1.98 1.94 1.89 1.84 1.78 .050 2.70 2.60 2.50 2.39 2.33 2.27 2.21 2.14 2.08 2.00 .025 3.26 3.12 2.98 2.83 2.75 2.67 2.58 2.50 2.40 2.31 .010 3.70 3.54 3.36 3.18 3.08 2.98 2.88 2.77 2.66 2.55 .005 1.89 1.84 1.80 1.74 1.72 1.69 1.66 1.62 1.59 1.55 .100 23 2.27 2.20 2.13 2.05 2.01 1.96 1.91 1.86 1.81 1.76 .050 2.67 2.57 2.47 2.36 2.30 2.24 2.18 2.11 2.04 1.97 .025 3.21 3.07 2.93 2.78 2.70 2.62 2.54 2.45 2.35 2.26 .010 3.64 3.47 3.30 3.12 3.02 2.92 2.82 2.71 2.60 2.48 .005 1.88 1.83 1.78 1.73 1.70 1.67 1.64 1.61 1.57 1.53 .100 24 2.25 2.18 2.11 2.03 1.98 1.94 1.89 1.84 1.79 1.73 .050 2.64 2.54 2.44 2.33 2.27 2.21 2.15 2.08 2.01 1.94 .025 3.17 3.03 2.89 2.74 2.66 2.58 2.49 2.40 2.31 2.21 .010 3.59 3.42 3.25 3.06 2.97 2.87 2.77 2.66 2.55 2.43 .005 1.87 1.82 1.77 1.72 1.69 1.66 1.63 1.59 1.56 1.52 .100 25 2.24 2.16 2.09 2.01 1.96 1.92 1.87 1.82 1.77 1.71 .050 2.61 2.51 2.41 2.30 2.24 2.18 2.12 2.05 1.98 1.91 .025 3.13 2.99 2.85 2.70 2.62 2.54 2.45 2.36 2.27 2.17 .010 3.54 3.37 3.20 3.01 2.92 2.82 2.72 2.61 2.50 2.38 .005 1.86 1.81 1.76 1.71 1.68 1.65 1.61 1.58 1.54 1.50 .100 26 2.22 2.15 2.07 1.99 1.95 1.90 1.85 1.80 1.75 1.69 .050 2.59 2.49 2.39 2.28 2.22 2.10 2.09 2.03 1.95 1.88 .025 3.09 2.96 2.81 2.66 2.58 2.50 2.42 2.33 2.23 2.13 .010 3.49 3.33 3.15 2.97 2.67 2.77 2.67 2.56 2.45 2.33 .005 1.85 1.80 1.75 1.70 1.67 1.64 1.60 1.57 1.53 1.49 .100 27 2.20 2.13 2.06 1.97 1.93 1.88 1.84 1.79 1.73 1.67 .050 2.57 2.47 2.36 2.25 2.19 2.13 2.07 2.00 1.93 1.85 .025 3.06 2.93 2.78 2.63 2.55 2.47 2.38 2.29 2.20 2.10 .010 3.45 3.28 3.11 2.93 2.83 2.73 2.63 2.52 2.41 2.29 .005

ตารางที่ 5 การแจกแจงแบบเอฟ (ต่อ)  ของเศษ 10 12 15 20 24 30 40 60 120 ∞   1.84 1.79 1.74 1.69 1.66 1.63 1.59 1.56 1.52 1.48 .100 28 2.19 2.12 2.04 1.96 1.91 1.87 1.82 1.77 1.71 1.65 .050 2.55 2.45 2.34 2.23 2.17 2.11 2.05 1.98 1.91 1.83 .025 3.03 2.90 2.75 2.60 2.52 2.44 2.35 2.26 2.17 2.06 .010 3.41 3.25 3.07 2.89 2.79 2.69 2.59 2.48 2.37 2.25 .005 1.83 1.78 1.73 1.68 1.65 1.62 1.58 1.55 1.51 1.47 .100 29 2.18 2.10 2.03 1.94 1.90 1.85 1.81 1.75 1.70 1.64 .050 2.53 2.43 2.32 2.21 2.15 2.09 2.03 1.96 1.89 1.81 .025 3.00 2.87 2.73 2.57 2.49 2.41 2.33 2.23 2.14 2.03 .010 3.38 3.21 3.04 2.86 2.76 2.66 2.56 2.45 2.33 2.21 .005 1.82 1.77 1.72 1.67 1.64 1.61 1.57 1.54 1.50 1.46 .100 30 2.16 2.09 2.01 1.93 1.89 1.84 1.79 1.74 1.68 1.62 .050 2.51 2.41 2.31 2.20 2.14 2.07 2.01 1.94 1.87 1.79 .025 2.98 2.84 2.70 2.55 2.47 2.39 2.30 2.21 2.11 2.01 .010 3.34 3.18 3.01 2.82 2.73 2.63 2.52 2.42 2.30 2.18 .005 1.76 1.71 1.66 1.61 1.57 1.54 1.51 1.47 1.42 1.38 .100 40 2.08 2.00 1.92 1.84 1.79 1.74 1.69 1.64 1.58 1.54 .050 2.39 2.29 2.18 2.07 2.01 1.94 1.88 1.80 1.72 1.64 .025 2.80 2.66 2.52 2.37 2.29 2.20 2.11 2.02 1.92 1.80 .010 3.12 2.95 2.78 2.60 2.50 2.40 2.30 2.18 2.06 1.93 .005 1.71 1.66 1.60 1.54 1.51 1.48 1.44 1.40 1.35 1.29 .100 60 1.99 1.92 1.84 1.75 1.70 1.65 1.59 1.53 1.47 1.39 .050 2.27 2.17 2.06 1.94 1.88 1.82 1.74 1.67 1.58 1.48 .025 2.63 2.50 2.35 2.20 2.12 2.03 1.94 1.84 1.73 1.60 .010 2.90 2.74 2.57 2.39 2.29 2.19 2.08 1.96 1.83 1.69 .005 1.65 1.60 1.55 1.48 1.45 1.41 1.37 1.32 1.26 1.19 .100 120 1.91 1.83 1.75 1.66 1.61 1.55 1.50 1.43 1.35 1.25 .050 2.16 2.05 1.94 1.82 1.76 1.69 1.61 1.53 1.43 1.31 .025 2.47 2.34 2.19 2.03 1.95 1.86 1.76 1.66 1.53 1.38 .010 2.71 2.54 2.37 2.19 2.09 1.98 1.87 1.75 1.61 1.43 .005 1.60 1.55 1.49 1.42 1.38 1.34 1.30 1.24 1.17 1.00 .100 ∞ 1.83 1.75 1.67 1.57 1.52 1.46 1.39 1.32 1.22 1.00 .050 2.05 1.94 1.83 1.71 1.64 1.57 1.48 1.39 1.27 1.00 .025 2.32 2.18 2.04 1.86 1.79 1.70 1.59 1.47 1.32 1.00 .010 2.52 2.36 2.19 2.00 1.90 1.79 1.67 1.53 1.36 1.00 .005

ตารางที่ 6 ความสูงของโค้งปกติ (ordinate) ณ จุดต่างๆ ������−µ z= ������ z = 0 : ordinate = 0.3989 z = 1 : ordinate = 0.2420 Z .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 .0 .3989 .3989 .3989 .3988 .3986 .3984 .3982 .3980 .3977 .3973 .1 .3970 .3965 .3961 .3956 .3951 .3945 .3939 .3932 .3925 .3918 .2 .3910 .3902 .3894 .3885 .3876 .3867 .3857 .3847 .3836 .3825 .3 .3814 .3802 .3790 .3778 .3765 .3752 .3739 .3725 .3712 .3697 .4 .3683 .3668 .3653 .3637 .3621 .3605 .3589 .3572 .3555 .3538 .5 .3521 .3503 .3485 .3467 .3448 .3429 .3410 .3391 .3372 .3352 .6 .3332 .3312 .3292 .3271 .3251 .3230 .3209 .3187 .3166 .3144 .7 .3123 .3101 .3079 .3056 .3034 .3011 .2989 .2966 .2943 .2920 .8 .2897 .2874 .2850 .2827 .2803 .2780 .2756 .2732 .2709 .2685 .9 .2661 .2637 .2613 .2589 .2565 .2541 .2516 .2492 .2468 .2444 1.0 .2420 .2396 .2371 .2347 .2323 .2299 .2275 .2251 .2227 .2203 1.1 .2179 .2155 .2131 .2107 .2083 .2059 .2036 .2012 .1989 .1965 1.2 .1942 .1919 .1895 .1872 .1849 .1826 .1804 .1781 .1758 .1736 1.3 .1714 .1691 .1669 .1647 .1626 .1604 .1582 .1561 .1539 .1518 1.4 .1497 .1476 .1456 .1435 .1415 .1394 .1374 .1354 .1334 .1315 1.5 .1295 .1276 .1257 .1238 .1219 .1200 .1182 .1163 .1145 .1127 1.6 .1109 .1092 .1074 .1057 .1040 .1023 .1006 .0989 .0973 .0957 1.7 .0940 .0925 .0909 .0893 .0878 .0863 .0848 .0833 .0818 .0804 1.8 .0790 .0775 .0761 .0748 .0734 .0721 .0707 .0694 .0681 .0669 1.9 .0656 .0644 .0632 .0620 .0608 .0596 .0584 .0573 .0562 .0551 2.0 .0540 .0529 .0519 .0508 .0498 .0488 .0478 .0468 .0459 .0449 2.1 .0440 .0431 .0422 .0413 .0404 .0396 .0387 .0379 .0371 .0363 2.2 .0355 .0347 .0339 .0332 .0325 .0317 .0310 .0303 .0297 .0290 2.3 .0283 .0277 .0270 .0264 .0358 .0252 .0246 .0241 .0235 .0229 2.4 .0224 .0219 .0213 .0208 .0203 .0198 .0194 .0189 .0184 .0180 2.5 .0175 .0171 .0167 .0163 .0158 .0154 .0151 .0147 .0143 .0139 2.6 .0136 .0132 .0129 .0126 .0122 .0119 .0116 .0113 .0110 .0107 2.7 .0104 .0101 .0099 .0096 .0093 .0091 .0088 .0086 .0084 .0081 2.8 .0079 .0077 .0075 .0073 .0071 .0069 .0067 .0065 .0063 .0061 2.9 .0060 .0058 .0056 .0055 .0053 .0051 .0050 .0048 .0047 .0046 3.0 .0044 .0043 .0042 .0040 .0039 .0038 .0037 .0036 .0035 .0034 3.1 .0033 .0032 .0031 .0030 .0029 .0028 .0027 .0027 .0025 .0025 3.2 .0024 .0023 .0022 .0022 .0021 .0020 .0020 .0019 .0018 .0018 3.3 .0017 .0017 .0016 .0016 .0015 .0015 .0014 .0014 .0013 .0013 3.4 .0012 .0012 .0012 .0011 .0011 .0010 .0010 .0010 .0009 .0009 3.5 .0009 .0008 .0008 .0008 .0008 .0007 .0007 .0007 .0007 .0006 3.6 .0006 .0006 .0006 .0005 .0005 .0005 .0005 .0005 .0005 .0004 3.7 .0004 .0004 .0004 .0004 .0004 .0004 .0003 .0003 .0003 .0003 3.8 .0003 .0003 .0003 .0003 .0003 .0002 .0002 .0002 .0002 .0002 3.9 .0002 .0002 .0002 .0002 .0002 .0002 .0002 .0002 .0001 .0001

ตารางที่ 7 คา่ วิกฤตของสตวิ เดนไทซ์ เรนจ์ (Studentized Range) df ∞ 2 3 4 k = จานวนกล่มุ ทดลอง 9 10 11 5678 5 .05 3.64 4.60 5.22 5.67 6.03 6.33 6.58 6.80 6.99 7.17 .01 5.70 6.97 7.80 8.42 8.91 9.32 9.67 9.97 10.24 10.48 6 .05 3.46 4.34 4.90 5.31 5.63 5.89 6.12 6.32 6.49 6.65 .01 5.24 6.33 7.03 7.56 7.97 8.32 8.61 8.87 9.10 9.30 7 .05 3.34 4.16 4.68 5.06 5.36 5.61 5.82 6.00 6.16 6.30 .01 4.95 5.92 6.54 7.01 7.37 7.68 7.94 8.17 8.37 8.55 8 .05 3.26 4.04 4.53 4.89 5.17 5.40 5.60 5.77 5.92 6.05 .01 4.47 5.63 6.20 6.63 6.96 7.24 7.47 7.68 7.87 8.03 9 .05 3.20 3.95 4.42 4.76 5.02 5.24 5.43 5.60 5.74 5.87 .01 4.60 5.43 5.96 6.35 6.66 6.91 7.13 7.32 7.49 7.65 10 .05 3.15 3.88 4.33 4.65 4.91 5.12 5.30 5.46 5.60 5.72 .01 4.48 5.27 5.77 6.14 6.43 6.67 6.87 7.05 7.21 7.36 11 .05 3.11 3.82 4.26 4.57 4.82 5.03 5.20 5.35 5.49 5.61 .01 4.39 5.14 5.62 5.97 6.25 6.48 6.67 6.84 6.99 7.13 12 .05 3.08 3.77 4.20 4.51 4.75 4.95 5.12 5.27 5.40 5.51 .01 4.32 5.04 5.50 5.84 6.10 6.32 6.51 6.67 6.81 6.94 13 .05 3.06 3.73 4.15 4.45 4.69 4.88 5.05 5.19 5.32 5.43 .01 4.26 4.96 5.40 5.73 5.98 6.19 6.37 6.53 6.67 6.79 14 .05 3.03 3.70 4.11 4.41 4.64 4.83 4.99 5.13 5.25 5.36 .01 4.21 4.89 5.32 5.63 5.88 6.08 6.26 6.41 6.54 6.66 15 .05 3.01 3.67 4.08 4.37 4.60 4.78 4.94 5.08 5.20 5.31 .01 4.17 4.83 5.25 5.56 5.80 5.99 6.16 6.31 6.44 6.55 16 .05 3.00 3.65 4.05 4.33 4.56 4.74 4.90 5.03 5.15 5.26 .01 4.13 4.78 5.19 5.49 5.72 5.92 6.08 6.22 6.35 6.46 17 .05 2.98 3.63 4.02 4.30 4.52 4.71 4.86 4.99 5.11 5.21 .01 4.10 4.74 5.14 5.43 5.66 5.85 6.01 6.15 6.27 6.38 18 .05 2.97 3.61 4.00 4.28 4.49 4.67 4.82 4.96 5.07 5.17 .01 4.07 4.70 5.09 5.38 5.60 5.79 5.94 6.08 6.20 6.31 19 .05 2.96 3.59 3.98 4.25 4.47 4.65 4.79 4.92 5.04 5.14 .01 4.05 4.67 5.05 5.33 5.55 5.73 5.89 6.02 6.14 6.25 20 .05 2.95 3.58 3.96 4.23 4.45 4.62 4.77 4.90 5.01 5.11 .01 4.02 4.64 5.02 5.29 5.51 5.69 5.84 5.97 6.09 6.19

df ∞ 2 3 4 k = จานวนกลุ่มทดลอง 9 10 11 5678 24 .05 2.92 3.53 3.90 4.17 4.37 4.54 4.68 4.81 4.92 5.01 .01 3.96 4.54 4.91 5.17 5.37 5.54 5.69 5.81 5.92 6.02 30 .05 2.89 3.49 3.84 4.10 4.30 4.46 4.60 4.72 4.83 4.92 .01 3.89 4.45 4.80 5.05 5.24 5.40 5.54 5.65 5.76 5.85 40 .05 2.86 3.44 3.79 4.04 4.23 4.39 4.52 4.63 4.74 4.82 .01 3.82 4.37 4.70 4.93 5.11 5.27 5.39 5.50 5.60 5.69 60 .05 2.83 3.40 3.74 3.98 4.16 4.31 4.44 4.55 4.65 4.73 .01 3.76 4.28 4.60 4.82 4.99 5.13 5.25 5.36 5.45 5.53 120 .05 2.80 3.36 3.69 3.92 4.10 4.24 4.36 4.48 4.56 4.64 .01 3.70 4.20 4.50 4.71 4.87 5.01 5.12 5.21 5.30 5.38 ∞ .05 2.77 3.31 3.63 3.86 4.03 4.17 4.29 4.39 4.47 4.55 .01 3.64 4.12 4.40 4.60 4.76 4.88 4.99 5.08 5.16 5.23

ตารางที่ 7 คา่ วิกฤตของสตวิ เดนไทซ์ เรนจ์ (Studentized Range) k = จานวนกล่มุ ทดลอง  df 12 13 14 15 16 17 18 19 20 .05 5 7.32 7.47 7.60 7.72 7.83 7.93 8.03 8.12 8.21 .01 6 10.70 10.89 11.08 11.24 11.40 11.55 11.68 11.81 11.93 7 .05 8 6.79 6.92 7.03 7.14 7.24 7.34 7.43 7.51 7.59 .01 9 9.49 9.65 9.81 9.95 10.08 10.21 10.32 10.43 10.54 10 .05 11 6.43 6.55 6.66 6.76 6.85 6.94 7.02 7.09 7.17 .01 12 8.71 8.86 9.00 9.12 9.24 9.35 9.46 9.55 9.65 13 .05 14 6.18 6.29 6.39 6.48 6.57 6.65 6.73 6.80 6.87 .01 15 8.18 8.31 8.44 8.55 8.66 8.76 8.85 8.94 9.03 16 .05 17 5.98 6.09 6.19 6.28 6.36 6.44 6.51 6.58 6.64 .01 18 7.78 7.91 8.03 8.13 8.23 8.32 8.41 8.49 8.57 19 .05 5.83 5.93 6.03 6.11 6.20 6.27 6.34 6.40 6.47 .01 7.48 7.60 7.71 7.81 7.91 7.99 8.07 8.15 8.22 .05 5.71 5.81 5.90 5.99 6.06 6.14 6.20 6.26 6.33 .01 7.25 7.36 7.46 7.56 7.65 7.73 7.81 7.88 7.95 .05 5.62 5.71 5.80 5.88 5.95 6.03 6.09 6.15 6.21 .01 7.06 7.17 7.26 7.36 7.44 7.52 7.59 7.66 7.73 .05 5.53 5.63 5.71 5.79 5.86 5.93 6.00 6.05 6.11 .01 6.90 7.01 7.10 7.19 7.27 7.34 7.42 7.48 7.55 .05 5.46 5.55 5.64 5.72 5.79 5.85 5.92 5.97 6.03 .01 6.77 6.87 6.96 7.05 7.12 7.20 7.27 7.33 7.39 .05 5.40 5.49 5.58 5.65 5.72 5.79 5.85 5.90 5.96 .01 6.66 6.76 6.84 6.93 7.00 7.07 7.14 7.20 7.26 .05 5.35 5.44 5.52 5.59 5.66 5.72 5.79 5.84 5.90 .01 6.56 6.66 6.74 6.82 6.90 6.97 7.03 7.09 7.15 .05 5.31 5.39 5.47 5.55 5.61 5.68 5.74 5.79 5.84 .01 6.48 6.57 6.66 6.73 6.80 6.87 6.94 7.00 7.05 .05 5.27 5.35 5.43 5.50 5.57 5.63 5.69 5.74 5.79 .01 6.41 6.50 6.58 6.65 6.72 6.79 6.85 6.91 6.96 .05 5.23 5.32 5.39 5.46 5.53 5.59 5.65 5.70 5.75 .01 6.34 6.43 6.51 6.58 6.65 6.72 6.78 6.84 6.89

12 13 14 k = จานวนกล่มุ ทดลอง 18 19 20  df 15 16 17 5.20 5.28 5.36 5.43 5.49 5.55 5.61 5.66 5.71 .05 20 6.29 6.37 6.45 6.52 6.59 6.65 6.71 6.76 6.82 .01 5.10 5.18 5.25 5.32 5.38 5.44 5.50 5.54 5.59 .05 24 6.11 6.19 6.26 6.33 6.39 6.45 6.51 6.56 6.61 .01 5.00 5.08 5.15 5.21 5.27 5.33 5.38 5.43 5.48 .05 30 5.93 6.01 6.08 6.14 6.20 6.26 6.31 6.36 6.41 .01 4.91 4.98 5.05 5.11 5.16 5.22 5.27 5.31 5.36 .05 40 5.77 5.84 5.90 5.96 6.02 6.07 6.12 6.17 6.21 .01 4.81 4.88 4.94 5.00 5.06 5.11 5.16 5.20 5.24 .05 60 5.60 5.67 5.73 5.79 5.84 5.89 5.93 5.98 6.02 .01 4.72 4.78 4.84 4.90 4.95 5.00 5.05 5.09 5.13 .05 120 5.44 5.51 5.56 5.61 5.66 5.71 5.75 5.79 5.83 .01 4.62 4.68 4.74 4.80 4.85 4.89 4.93 4.97 5.01 .05 ∞ 5.29 5.35 5.40 5.45 5.49 5.54 5.57 5.61 5.65 .01

ตารางที่ 8 คา่ วิกฤตของ q ในการทดสอบวิธีขอ = df r 2 3 4 5 6 7 8 1 17.97 17.97 17.97 17.97 17.97 17.97 17. 2 6.085 6.085 6.085 6.085 6.085 6.085 6.0 3 4.501 4.516 4.516 4.516 4.516 4.516 4.5 4 3.927 4.013 4.033 4.033 4.033 4.033 4.0 5 3.635 3.749 3.797 3.814 3.814 3.814 3.8 6 3.461 3.587 3.649 3.680 3.694 3.697 3.6 7 3.344 3.477 3.548 3.588 3.611 3.622 3.6 8 3.261 3.399 3.475 3.521 3.549 3.566 3.5 9 3.199 3.339 3.420 3.470 3.502 3.523 3.5 10 3.151 3.293 3.376 3.430 3.465 3.489 3.5 11 3.113 3.256 3.342 3.397 3.435 3.462 3.4 12 3.082 3.225 3.313 3.370 3.410 3.439 3.4 13 3.055 3.200 3.289 3.348 3.389 3.419 3.4 14 3.033 3.178 3.268 3.329 3.372 3.403 3.4 15 3.014 3.160 3.250 3.312 3.356 3.389 3.4 16 2.998 3.144 3.235 3.298 3.343 3.376 3.4 17 2.984 3.130 3.222 3.285 3.331 3.366 3.3 18 2.971 3.118 3.210 3.274 3.321 3.356 3.3 19 2.960 3.107 3.199 3.264 3.311 3.347 3.3 20 2.950 3.097 3.190 3.255 3.303 3.339 3.3 24 2.919 3.066 3.160 3.226 3.276 3.315 3.3 30 2.888 3.035 3.131 3.199 3.250 3.290 3.3 40 2.858 3.006 3.102 3.171 3.224 3.266 3.3 60 2.829 2.976 3.073 3.143 3.198 3.241 3.2 120 2.800 2.947 3.045 3.116 3.172 3.217 3.2 ∞ 2.772 2.918 3.017 3.089 3.146 3.193 3.2

องดนั คนั ( Duncan’s New Multiple Range ) 0.05 8 9 10 11 12 13 14 15 .97 17.97 17.97 17.97 17.97 17.97 17.97 17.97 085 6.085 6.085 6.085 6.085 6.085 6.085 6.085 516 4.516 4.516 4.516 4.16 4.16 4.16 4.16 033 4.033 4.033 4.033 4.033 4.033 4.033 4.033 814 3.814 3.184 3.814 4.814 4.814 4.814 4.814 697 3.697 3.697 3.697 3.697 3.697 3.697 3.697 626 3.626 3.626 3.626 3.626 3.626 3.626 3.626 575 3.579 3.579 3.579 3.579 3.579 3.579 3.579 536 3.544 3.547 3.547 3.547 3.547 3.547 3.547 505 3.516 3.522 3.525 3.526 3.526 3.526 3.526 480 3.493 3.501 3.506 3.509 3.510 3.510 3.510 459 3.474 3.484 3.491 3.496 3.498 3.499 3.499 442 3.458 3.470 3.478 3.484 3.488 3.490 3.490 426 3.444 3.457 3.467 3.474 3.479 3.482 3.484 413 3.432 3.446 3.457 3.465 3.471 3.476 3.478 402 3.422 3.437 3.449 3.458 3.465 3.470 3.473 392 3.412 3.429 3.441 3.451 3.459 3.465 3.469 383 3.405 3.421 3.435 3.445 3.454 3.460 3.465 375 3.397 3.415 3.429 3.440 3.449 3.456 3.462 368 3.391 3.409 3.424 3.436 3.445 3.453 3.459 345 3.370 3.390 3.406 3.420 3.432 3.441 3.449 322 3.349 3.371 3.389 3.405 3.418 3.430 3.439 300 3.328 3.352 3.373 3.390 3.405 3.418 3.429 277 3.307 3.333 3.355 3.374 3.391 3.406 3.419 254 3.287 3.314 3.337 3.359 3.377 3.394 3.409 232 3.265 3.294 3.320 3.343 3.363 3.382 3.399

ตารางที่ 8 คา่ วิกฤตของ q ในก = df r 2 3 4 5 6 7 8 1 90.03 90.03 90.03 90.03 90.03 90.03 90. 2 14.04 14.04 14.04 14.04 14.04 14.04 14. 3 8.261 8.321 8.321 8.321 8.321 8.321 8.3 4 6.512 6.677 6.740 6.756 6.756 6.756 6.7 5 5.702 5.893 5.989 6.040 6.065 6.074 6.0 6 5.243 5.439 5.549 5.614 5.655 5.680 5.6 7 4.949 5.145 5.260 5.334 5.383 5.416 5.4 8 4.746 4.939 5.057 5.135 5.189 5.227 5.2 9 4.596 4.787 4.906 4.986 5.043 5.086 5.1 10 4.482 4.671 4.790 4.871 4.931 4.975 5.0 11 4.392 4.579 4.697 4.780 4.841 4.887 4.9 12 4.320 4.504 4.622 4.706 4.767 4.815 4.8 13 4.260 4.442 4.560 4.644 4.706 4.755 4.7 14 4.210 4.391 4.508 4.591 4.654 4.704 4.7 15 4.168 4.347 4.463 4.547 4.610 4.660 4.7 16 4.131 4.309 4.425 4.509 4.572 4.622 4.6 17 4.099 4.275 4.391 4.475 4.539 4.589 4.6 18 4.071 4.246 4.362 4.445 4.509 4.560 4.6 19 4.046 4.220 4.335 4.419 4.483 4.534 4.5 20 4.024 4.197 4.312 4.395 4.459 4.510 4.5 24 3.956 4.126 4.239 4.322 4.386 4.437 4.4 30 3.889 4.056 4.168 4.250 4.314 4.366 4.4 40 3.825 3.988 4.098 4.180 4.244 4.296 4.3 60 3.762 3.922 4.031 4.111 4.174 4.226 4.2 120 3.702 3.858 3.965 4.044 4.107 4.158 4.2 ∞ 3.643 3.796 3.900 3.978 4.040 4.091 4.1

การทดสอบวิธีของดันคนั ( ตอ่ ) 0.01 8 9 10 11 12 13 14 15 .03 90.03 90.03 90.03 90.03 90.03 90.03 90.03 .04 14.04 14.04 14.04 14.04 14.04 14.04 14.04 321 8.321 8.321 8.321 8.321 8.321 8.321 8.321 756 6.756 6.756 6.756 6.756 6.756 6.756 6.756 074 6.074 6.074 6.074 6.074 6.074 6.074 6.074 694 5.701 5.703 5.703 5.703 5.703 5.703 5.703 439 5.454 5.464 5.470 5.472 5.472 5.472 5.472 256 5.276 5.291 5.302 5.309 5.314 5.316 5.317 118 5.142 5.160 5.174 5.185 5.193 5.199 5.203 010 5.037 5.058 5.074 5.088 5.098 5.106 5.112 924 4.952 4.975 4.994 5.009 5.021 5.031 5.039 852 4.883 4.907 4.927 4.944 4.958 4.969 4.978 793 4.824 4.850 4.872 4.889 4.904 4.917 4.928 743 4.775 4.802 4.824 4.843 4.859 4.872 4.884 700 4.733 4.760 4.783 4.803 4.820 4.834 4.846 663 4.696 4.724 4.748 4.768 4.786 4.800 4.813 630 4.664 4.693 4.717 4.738 4.756 4.771 4.785 601 4.635 4.664 4.689 4.711 4.729 4.745 4.759 575 4.610 4.639 4.665 4.686 4.705 4.722 4.736 552 4.587 4.617 4.642 4.664 4.684 4.701 4.716 480 4.516 4.546 4.573 4.596 4.616 4.634 4.651 409 4.445 4.477 4.504 4.528 4.550 4.569 4.586 339 4.376 4.408 4.436 4.461 4.483 4.503 4.521 270 4.307 4.340 4.368 4.394 4.417 4.438 4.456 202 4.239 4.272 4.301 4.327 4.351 4.372 4.392 135 4.172 4.205 4.235 4.261 4.285 4.307 4.327

ตารางที่ 9 ค่าวิกฤตของ t ในการทดสอบแบบทางเดียวของดนั เนตต์ (Dunnett) df 1 -  1 2 k = จานวนกล่มุ ทดลอง (ไม่รวมกลุ่มควบคุม) 8 9 34567 5 .95 2.02 2.44 2.68 2.85 2.98 3.08 3.16 3.24 3.30 .99 3.37 3.90 4.21 4.43 4.60 4.73 4.85 4.94 5.03 6 .95 1.94 2.34 2.56 2.71 2.83 2.92 3.00 3.07 3.12 .99 3.14 3.61 3.88 4.07 4.21 4.33 4.43 4.51 4.59 7 .95 1.89 2.27 2.48 2.62 2.73 2.82 2.89 2.95 3.01 .99 3.00 3.42 3.66 3.83 3.96 4.07 4.15 4.23 4.30 8 .95 1.86 2.22 2.42 2.55 2.66 2.74 2.81 2.87 2.92 .99 2.90 3.29 3.51 3.67 3.79 3.88 3.96 4.03 4.09 9 .95 1.83 2.18 2.37 2.50 2.60 2.68 2.75 2.81 2.86 .99 2.82 3.19 3.40 3.55 3.66 3.75 3.82 3.89 3.94 10 .95 1.81 2.15 2.34 2.47 2.56 2.64 2.70 2.76 2.81 .99 2.76 3.11 3.31 3.45 3.56 3.64 3.71 3.78 3.83 11 .95 1.80 2.13 2.31 2.44 2.53 2.60 2.67 2.72 2.77 .99 2.72 3.06 3.25 3.38 3.48 3.56 3.63 3.69 3.74 12 .95 1.78 2.11 2.29 2.41 2.50 2.58 2.64 2.69 2.74 .99 2.68 3.01 3.19 3.32 3.42 3.50 3.56 3.62 3.67 13 .95 1.77 2.09 2.27 2.39 2.48 2.55 2.61 2.66 2.71 .99 2.65 2.97 3.15 3.27 3.37 3.44 3.51 3.56 3.61 14 .95 1.76 2.08 2.25 2.37 2.46 2.53 2.59 2.64 2.69 .99 2.62 2.94 3.11 3.23 3.32 3.40 3.46 3.51 3.56 15 .95 1.75 2.07 2.24 2.36 2.44 2.51 2.57 2.62 2.67 .99 2.60 2.91 3.08 3.20 3.29 3.36 3.42 3.47 3.52 16 .95 1.75 2.06 2.23 2.34 2.43 2.50 2.56 2.61 2.65 .99 2.58 2.88 3.05 3.19 3.26 3.33 3.39 3.44 3.48 17 .95 1.74 2.05 2.22 2.33 2.42 2.49 2.54 2.59 2.64 .99 2.57 2.86 3.03 3.14 2.23 3.30 3.36 3.41 3.45 18 .95 1.73 2.04 2.21 2.32 2.41 2.48 2.53 2.58 2.62 .99 2.55 2.84 3.01 3.12 3.21 3.27 3.33 3.38 3.42 19 .95 1.73 2.03 2.20 2.31 2.40 2.47 2.52 2.57 2.61 .99 2.54 2.83 2.99 3.10 3.18 3.25 3.31 3.36 3.40 20 .95 1.72 2.03 2.19 2.30 2.39 2.46 2.51 2.56 2.60 .99 2.53 2.81 2.97 3.08 3.17 3.23 3.29 3.34 3.38

df 1 -  1 2 k = จานวนกล่มุ ทดลอง (ไม่รวมกลุ่มควบคุม) 8 9 34567 24 .95 1.71 2.01 2.17 2.28 2.36 2.43 2.48 2.53 2.57 .99 2.49 2.77 2.92 3.03 3.11 3.17 3.22 3.27 3.31 30 .95 1.70 1.99 2.15 2.25 2.33 2.40 2.45 2.50 2.54 .99 2.46 2.72 2.87 2.97 3.05 3.11 3.16 3.21 3.24 40 .95 1.68 1.97 2.13 2.23 2.31 2.37 2.42 2.47 2.51 .99 2.42 2.68 2.82 2.92 2.99 3.05 3.10 3.14 3.18 60 .95 1.67 1.95 2.10 2.21 2.28 2.35 2.39 2.44 2.48 .99 2.39 2.64 2.78 2.87 2.94 3.00 3.04 3.08 3.12 120 .95 1.66 1.93 2.08 2.18 2.26 2.32 2.37 2.41 2.45 .99 2.36 2.60 2.73 2.82 2.89 2.94 2.99 3.03 3.06 ∞ .95 1.64 1.92 2.06 2.16 2.23 2.29 2.34 2.38 2.42 .99 2.33 2.56 2.68 2.77 2.84 2.89 2.93 2.97 3.00

ตารางที่ 10 คา่ วิกฤตของ t ในการทดสอบอบบสองทางของดันเนตต์ (Dunnett) df 1 -  1 2 k = จานวนกลุ่มทดลอง (ไม่รวมกล่มุ ควบคุม) 8 9 34567 5 .95 2.57 3.03 3.39 3.66 3.88 4.06 4.22 4.36 4.49 .99 4.03 4.63 5.09 5.44 5.73 5.97 6.18 6.36 6.53 6 .95 2.45 2.86 3.18 3.41 3.60 3.75 3.88 4.00 4.11 .99 3.71 4.22 4.60 4.88 5.11 5.30 5.47 5.61 5.74 7 .95 2.36 2.75 3.04 3.24 3.41 3.54 3.66 3.76 3.86 .99 3.50 3.95 4.28 4.52 4.71 4.87 5.01 5.13 5.24 8 .95 2.31 2.67 2.94 3.13 3.28 3.40 3.51 3.60 3.68 .99 3.36 3.77 4.06 4.27 4.44 4.58 4.70 4.81 4.90 9 .95 2.26 2.61 2.86 3.04 3.18 3.29 3.39 3.48 3.55 .99 3.25 3.63 3.90 4.09 4.24 4.37 4.48 4.57 4.65 10 .95 2.23 2.57 2.81 2.97 3.11 3.21 3.31 3.39 3.46 .99 3.17 3.53 3.78 3.95 4.10 4.21 4.31 4.40 4.47 11 .95 2.20 2.53 2.76 2.92 3.05 3.15 3.24 3.31 3.38 .99 3.11 3.45 3.68 3.85 3.98 4.09 4.18 4.26 4.33 12 .95 2.18 2.50 2.72 2.88 3.00 3.10 3.18 3.25 3.32 .99 3.05 3.39 3.61 3.76 3.89 3.99 4.08 4.15 4.22 13 .95 2.16 2.48 2.69 2.84 2.96 3.06 3.14 3.21 3.27 .99 3.01 3.33 3.54 3.69 3.81 3.91 3.99 4.06 4.13 14 .95 2.14 2.46 2.67 2.81 2.93 3.02 3.10 3.17 3.23 .99 2.98 3.29 3.49 3.64 3.75 3.84 3.92 3.99 4.05 15 .95 2.13 2.44 2.64 2.79 2.90 2.99 3.07 3.13 3.19 .99 2.95 3.25 3.45 3.59 3.70 3.79 3.86 3.93 3.99 16 .95 2.12 2.42 2.63 2.77 2.88 2.96 3.04 3.10 3.16 .99 2.92 3.22 3.41 3.55 3.65 3.74 3.82 3.88 3.93 17 .95 2.11 2.41 2.61 2.75 2.85 2.94 3.01 3.08 3.13 .99 2.90 3.19 3.38 3.51 3.62 3.70 3.77 3.83 3.89 18 .95 2.10 2.40 2.59 2.73 2.84 2.92 2.99 3.05 3.11 .99 2.88 3.17 3.35 3.48 3.58 3.67 3.74 3.80 3.85 19 .95 2.09 2.39 2.58 2.72 2.82 2.90 2.97 3.04 3.09 .99 2.86 3.15 3.33 3.46 3.55 3.64 3.70 3.76 3.81 20 .95 2.09 2.38 2.57 2.70 2.81 2.89 2.96 3.02 3.07 .99 2.85 3.13 3.31 3.43 3.53 3.61 3.67 3.73 3.78

df 1 -  1 2 k = จานวนกล่มุ ทดลอง (ไม่รวมกลุ่มควบคุม) 8 9 34567 24 .95 2.06 2.35 2.53 2.66 2.76 2.84 2.91 2.96 3.01 .99 2.80 3.07 3.24 3.36 3.45 3.52 3.58 3.64 3.69 30 .95 2.04 2.32 2.50 2.62 2.72 2.79 2.86 2.91 2.96 .99 2.75 3.01 3.17 3.28 3.37 3.44 3.50 3.55 3.59 40 .95 2.02 2.29 2.47 2.58 2.67 2.75 2.81 2.86 2.90 .99 2.70 2.95 3.10 3.21 3.29 3.36 3.41 3.46 3.50 60 .95 2.00 2.27 2.43 2.55 2.63 2.70 2.76 2.81 2.85 .99 2.66 2.90 3.04 3.14 3.22 3.28 3.33 3.38 3.42 120 .95 1.98 2.24 2.40 2.51 2.59 2.66 2.71 2.76 2.80 .99 2.62 2.84 2.98 3.08 3.15 3.21 3.25 3.30 3.33 ∞ .95 1.96 2.21 2.37 2.47 2.55 2.62 2.67 2.71 2.75 .99 2.58 2.79 2.92 3.01 3.08 3.14 3.18 3.22 3.25

ตารางที่ 11 ค่าวิกฤตของ r สมั ประสทิ ธส์ หสมั พนั ธ์แบบเพยี ร์สนั (Pearson Correlation Coefficient)  สาหรับกาทดสอบแบบทางเดยี ว df .05 .025 .01 .005  สาหรับกาทดสอบแบบสองทาง .10 .05 .02 .01 1 .988 .997 .9995 .9999 2 .900 .950 .980 .990 3 .805 .878 .934 .959 4 .729 .811 .882 .917 5 .669 .754 .833 .874 6 .622 .707 .789 .834 7 .582 .666 .750 .798 8 .549 .632 .716 .765 9 .521 .602 .685 .735 10 .497 .576 .658 .708 11 .476 .553 .634 .684 12 .458 .532 .612 .661 13 .441 .514 .592 .641 14 .426 .497 .574 .623 15 .412 .482 .558 .606 16 .400 .468 .542 .590 17 .389 .456 .528 .575 18 .378 .444 .516 .561 19 .369 .433 .503 .549 20 .360 .423 .492 .537 21 .352 .413 .482 .526 22 .344 .404 .472 .515 23 .337 .396 .462 .505 24 .330 .388 .453 .496 25 .323 .381 .445 .487 26 .317 .374 .437 .479 27 .311 .367 .430 .471 28 .306 .361 .423 .463 28 .301 .355 .416 .456 30 .296 .349 .409 .449

ตารางที่ 11 ค่าวิกฤตของ r สมั ประสทิ ธส์ หสมั พนั ธ์แบบเพยี ร์สนั ( ต่อ )  สาหรับกาทดสอบแบบทางเดยี ว df .05 .025 .01 .005  สาหรับกาทดสอบแบบสองทาง .02 .01 .10 .05 .397 .436 .386 .424 32 .287 .339 .376 .413 .367 .403 34 .279 .329 .358 .393 .350 .384 36 .271 .320 .342 .376 .335 .368 38 .264 .312 .328 .361 .322 .354 40 .257 .304 .307 .339 .295 .325 42 .251 .297 .284 .313 .274 .302 44 .246 .291 .265 .292 .256 .283 46 .240 .285 .249 .275 .242 .267 48 .235 .279 .236 .260 .230 .254 50 .231 .273 .210 .232 .189 .208 55 .220 .261 .164 .181 .134 .148 60 .211 .250 .116 .128 .104 .115 65 .203 .240 .073 .081 70 .195 .232 75 .189 .224 80 .183 .217 85 .178 .211 90 .173 .205 95 .168 .200 100 .164 .195 120 .150 .178 150 .134 .159 200 .116 .138 300 .095 .113 400 .082 .098 500 .073 .088 1000 .052 .062

ตารางที่ 12 ค่าวิกฤตของ r สมั ประสทิ ธสิ์ หสมั พนั ธอ์ ันดบั ทขี่ องสเปียรแ์ มน (Spearman’s Rank Correlation Coefficient)  สาหรับกาทดสอบแบบทางเดยี ว df .05 .025 .01 .005  สาหรับกาทดสอบแบบสองทาง .10 .05 .02 .01 4 1.000 - - - 5 0.900 1.000 1.000 - 6 0.829 0.886 0.943 1.000 7 0.714 0.786 0.893 0.929 8 0.643 0.738 0.833 0.881 9 0.600 0.683 0.783 0.833 10 0.564 0.648 0.745 0.794 11 0.520 0.620 0.735 0.791 12 0.506 0.591 0.712 0.787 13 0.475 0.566 0.671 0.744 14 0.456 0.544 0.645 0.719 15 0.441 0.524 0.622 0.688 16 0.425 0.506 0.601 0.665 17 0.412 0.490 0.582 0.644 18 0.399 0.475 0.564 0.625 19 0.388 0.462 0.548 0.607 20 0.377 0.450 0.534 0.591 21 0.368 0.438 0.520 0.576 22 0.359 0.428 0.508 0.562 23 0.351 0.418 0.496 0.549 24 0.343 0.409 0.485 0.537 25 0.336 0.400 0.475 0.526 26 0.329 0.392 0.465 0.515 27 0.323 0.384 0.456 0.505 28 0.317 0.377 0.448 0.496 29 0.311 0.370 0.440 0.487 30 0.305 0.364 0.432 0.478

ตารางที่ 13 คา่ สัมประสิทธสิ์ หสัมพนั ธเ์ ตตระคอรคิ (Tetrachoric Correlation Coefficient) rt bc or ad rt bc or ad rt bc or ad rt bc or ad ad bc ad bc bc bc ad ad 0 1.000 .26 1.941 – 1.993 .51 4.068 – 4.205 .76 11.513 – 12.177 .010 1.013 - 1.039 .27 1.994 – 2.048 .52 4.206 – 4.351 .77 12.178 – 12.905 .02 1.040 - 1.066 .28 2.049 – 2.105 .53 4.352 – 4.503 .78 12.906 – 13.707 .03 1.067 – 1.093 .29 2.106 – 2.164 .54 4.504 – 4.662 .79 13.708 – 14.592 .04 1.094 – 1.122 .30 2.165 – 2.225 .55 4.663 – 4.830 .80 14.593 – 15.574 .05 1.123 – 1.151 .31 2.226 – 2.288 .56 4.831 – 5.007 .81 15.575 – 16.670 .06 1.152 – 1.180 .32 2.289 – 2.353 .57 5.008 – 5.192 .82 16.671 – 17.899 .07 1.181 – 1.211 .33 2.354 – 2.421 .58 5.193 – 5.388 .83 17.900 – 19.287 .08 1.212 – 1.242 .34 2.422 – 2.491 .59 5.389 – 5.595 .84 19.288 – 20.865 .09 1.243 – 1.275 .35 2.492 – 2.563 .60 5.596 – 5.813 .85 20.866 – 22.674 .10 1.276 – 1.308 .36 2.564 – 2.638 .61 5.814 – 6.043 .86 22.675 – 24.766 .11 1.309 – 1.342 .37 2.639 – 2.716 .62 6.044 – 6.288 .87 24.767 – 27.212 .12 1.343 – 1.377 .38 2.717 – 2.797 .63 6.289 – 6.547 .88 27.213 – 30.105 .13 1.378 – 1.413 .39 2.798 – 2.881 .64 6.548 – 6.822 .89 30.106 – 33.577 .14 1.414 – 1.450 .40 2.882 – 2.968 .65 6.823 – 7.115 .90 33.578 – 37.815 .15 1.451 – 1.488 .41 2.969 – 3.059 .66 7.116 – 7.428 .91 37.816 – 43.096 .16 1.489 – 1.528 .42 3.060 – 3.153 .67 7.429 – 7.761 .92 43.097 – 49.846 .17 1.529 – 1.568 .43 3.154 – 3.251 .68 7.762 – 8.117 .93 49.847 – 58.758 .18 1.569 – 1.610 .44 3.252 – 3.353 .69 8.118 – 8.499 .94 58.759 – 71.035 .19 1.611 – 1.653 .45 3.354 – 3.460 .70 8.500 – 8.910 .95 71.036 – 88.964 .20 1.654 – 1.697 .46 3.461 – 3.571 .71 8.911 – 9.351 .96 88.965 – 117.479 .21 1.698 – 1.743 .47 3.572 – 3.687 .72 9.352 – 9.828 .97 117.480 – 169.503 .22 1.744 – 1.790 .48 3.688 – 3.808 .73 9.829 – 10.344 .98 169.504 – 292.864 .23 1.791 – 1.838 .49 3.809 – 3.935 .74 10.345 – 10.903 .99 292.865 – 923.687 .24 1.839 – 1.888 .50 3.936 – 4.067 .75 10.904 – 11.512 1.00 923.688 - ∞ .25 1.889 – 1.940

ตารางที่ 14 คา่ วิกฤตของ D ในการทดสอบของโคลโมโกรอฟ-สมรี น์ อฟกลมุ่ เดียว (Kolmogorov-Smirnov One-Sample Test) การทดสอบกลุม่ เดียว n α .20 .15 .10 .05 .01 1 .900 .925 .950 .975 .995 2 .684 .726 .776 .842 .929 3 .565 .597 .642 .708 .828 4 .494 .525 .525 .624 .733 5 .446 .474 .510 .565 .669 6 .410 .436 .470 .521 .618 7 .381 .405 .438 .486 .577 8 .358 .381 .411 .457 .543 9 .339 .360 .388 .432 .514 10 .322 .342 .368 .410 .490 11 .307 .326 .352 .391 .468 12 .295 .313 .338 .375 .450 13 .284 .302 .325 .361 .433 14 .274 .292 .314 .349 .418 15 .266 .283 .304 .338 .404 16 .258 .274 .295 .328 .392 17 .250 .266 .286 .318 .381 18 .244 .259 .278 .309 .371 19 .237 .252 .272 .301 .363 20 .231 .246 .264 .294 .356 25 .21 .22 .24 .27 .32 30 .19 .20 .22 .24 .29 35 .18 .19 .21 .23 .27 35 1.07 1.14 1.22 1.36 1.63 √N √N √N √N √N

ตารางที่ 15 คา่ วิกฤตของ D ในการทดสอบของโคลโมโกรอฟ-สมรี น์ อฟสองกลุ่ม (Kolmogorov-Smirnov Two-Sample Test) สาหรับกลมุ่ เดก็ การทดสอบสองกลุ่ม (กลมุ่ เล็ก) n ทางเดยี ว สองทาง α = .05 α = .01 α = .05 α = .01 33- - - 44-4- 54555 65656 75666 85667 96767 10 6 7 7 8 11 6 8 7 8 12 6 8 7 8 13 7 8 7 9 14 7 8 8 9 15 7 9 8 9 16 7 9 8 10 17 8 9 8 10 18 8 10 9 10 19 8 10 9 10 20 8 10 9 11 21 8 10 9 11 22 9 11 9 11 23 9 11 10 11 24 9 11 10 12 25 9 11 10 12 26 9 11 10 12 27 9 12 10 12 28 10 12 11 13 29 10 12 11 13 30 10 12 11 13 35 11 13 12 40 11 14 13

ตารางที่ 16 ค่าวิกฤตของ D ในการทดสอบของโคลโมโกรอฟ-สมรี น์ อฟสองกลุ่ม (Kolmogorov-Smrnov Two-Sample Test) สาหรบั กลุ่มใหญ่ การทสอบสองกลมุ่ (กลุม่ ใหญ่ : การทดสอบแบบสองทาง) αD .10 1.22√nn11+nn22 .05 1.36√nn11+nn22 0.25 1.22√nn11+nn22 .01 1.48√nn11+nn22 .005 1.73√nn11+nn22 .001 1.95√nn11+nn22

ตารางที่ 17 คา่ วิกฤตของ r ในการทดสอบรนั ส์ (Run Test) ตารางที่ 17.1 n2 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 n1 222222222 2 3 2222 2 2222333333 4 22233 3 3333344444 5 223333 4 4444444555 6 2233334 4 4455555566 7 2233344 5 5555666666 8 2333445 5 5666667777 9 2334455 5 6667777888 10 2 3 3 4 5 5 5 6 6 7 7 7 7 8 8 8 8 9 11 2 3 4 4 5 5 6 6 7 7 7 8 8 8 9 9 9 9 12 2 2 3 4 4 5 6 6 7 7 7 8 8 8 9 9 9 10 10 13 2 2 3 4 4 5 6 6 7 7 8 8 9 9 9 10 10 10 10 14 2 2 3 4 5 5 6 7 7 8 8 9 9 9 10 10 10 11 11 15 2 3 3 4 5 6 6 7 7 8 8 9 9 10 10 11 11 11 12 16 2 3 4 4 5 6 6 7 8 8 9 9 10 10 11 11 11 12 12 17 2 3 4 4 5 6 7 7 8 9 9 10 10 11 11 11 12 12 13 18 2 3 4 5 5 6 7 8 8 9 9 10 10 11 11 12 12 13 13 19 2 3 4 5 6 6 7 8 8 9 10 10 11 11 12 12 13 13 13 20 2 3 4 5 6 6 7 8 9 9 10 10 11 12 12 13 13 13 14

ตารางที่ 17.2 n2 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 n1 2 3 4 99 5 9 10 10 11 11 6 9 10 11 12 12 13 13 13 13 7 11 12 13 13 14 14 14 14 15 15 15 8 11 12 13 14 14 15 15 16 16 16 16 17 17 17 17 17 9 13 14 14 15 16 16 16 17 17 18 18 18 18 18 18 10 13 14 15 16 16 17 17 18 18 18 19 19 19 20 20 11 13 14 15 16 17 17 18 19 19 19 20 20 20 21 21 12 13 14 16 16 17 18 19 19 20 20 21 21 21 22 22 13 15 16 17 18 19 19 20 20 21 21 22 22 23 23 14 15 16 17 18 19 20 20 21 22 22 23 23 23 24 15 15 16 18 18 19 20 21 22 22 23 23 24 24 25 16 17 18 19 20 21 21 22 23 23 24 25 25 25 17 17 18 19 20 21 22 23 23 24 25 25 26 26 18 17 18 19 20 21 22 23 24 25 25 26 26 27 19 17 18 20 21 22 23 23 24 25 26 26 27 27 20 17 18 20 21 22 23 24 25 25 26 27 27 28

ตารางที่ 18 คา่ ความนา่ จะเปน็ ทไี่ ดจ้ ากคา่ ตา่ สดุ ของ U ในการทดสอบของแมน-วิทนี (Mann-Whitney Test) ������������ = ������ ������������ = ������ ������������ 123 ������������ U .250 .100 .050 1234 .500 .200 .100 U 0 .750 .400 .200 1 0 .200 .067 .028 .014 2 .600 .350 1 .400 .133 .057 .029 3 .500 2 .600 .267 .114 .057 4 .650 3 .400 .200 .100 5 4 .600 .314 .171 5 .429 .243 6 .571 .343 7 .443 8 .557 ������������ = ������ ������������ = ������ ������������ ������������ 12345 123456 U U 0 .167 .047 .018 .008 .004 0 .143 .036 .012 .055 .002 .001 1 .333 .095 .036 .016 .008 1 .286 .071 .024 .010 .004 .002 2 .500 .190 .071 .032 .016 2 .428 .143 .048 .019 .009 .004 3 .667 .286 .125 .056 .028 3 .571 .214 .083 .033 .015 .008 4 .429 .196 .085 .048 4 .321 .131 .057 .026 .013 5 .571 .286 .143 .075 5 .429 .190 .086 .041 .021 6 .393 .206 .111 6 .571 .274 .129 .063 .032 7 .500 .278 .155 7 .357 .176 .089 .047 8 .607 .365 .210 8 .452 .238 .123 .066 9 .452 .274 9 .548 .305 .165 .090 10 .452 .274 10 .381 .214 .120 11 .421 11 .457 .268 .155 12 .500 12 .545 .331 .197 13 .579 13 .396 .242 14 .465 .294 15 .535 .350 16 .409 17 .469 18 .531

ตารางที่ 18 ค่าความนา่ จะเปน็ ทไี่ ด้จากค่าตา่ สดุ ของ U ในการทดสอบของแมน-วิทนี (ตอ่ ) ������������ = ������ ������������ 1234567 U 0 .125 .028 .008 .003 .001 .001 .000 1 .250 .056 .017 .006 .003 .001 .001 2 .375 .111 .033 .012 .005 .002 .001 3 .500 .167 .058 .021 .009 .004 .002 4 .625 .250 .092 .036 .015 .007 .003 5 .333 .133 .055 .024 .011 .006 6 .444 .192 .082 .037 .017 .009 7 .556 .258 .115 .053 .026 .013 8 .333 .158 .074 .037 .019 9 .417 .206 .101 .051 .027 10 .500 .264 .134 .069 .036 11 .583 .324 .172 .090 .049 12 .394 .216 .117 .064 13 .464 .265 .147 .082 14 .562 .319 .183 .104 15 .378 .223 .130 16 .438 .267 .159 17 .500 .314 .191 18 .562 .365 .228 19 .418 .267 20 .473 .310 21 .527 .355 22 .402 23 .451 24 .500 25 .549

ตารางที่ 18 คา่ ความนา่ จะเปน็ ทไี่ ดจ้ ากคา่ ตา่ สดุ ของ U ในการทดสอบของแมน-วิทนี (ตอ่ ) ������������ = ������ n1 1 2 3 4 5 6 7 8 t Normal U 0 .111 .022 .006 .002 .001 .000 .000 .000 3.308 .001 1 .222 .044 .012 .004 .002 .001 .000 .000 3.203 .001 2 .333 .089 .024 .008 .003 .001 .001 .000 3.098 .001 3 .444 .133 .067 .014 .005 .002 .001 .001 2.993 .001 4 .556 .200 .097 .024 .009 .004 .002 .001 2.888 .002 5 .267 .139 .036 .015 .006 .003 .001 2.783 .003 6 .444 .188 .055 .023 .101 .005 .002 2.673 .004 7 .556 .248 .077 .033 .015 .007 .003 2.573 .005 8 .315 .107 .047 .021 .010 .005 2.468 .007 9 .387 .141 .064 .030 .014 .007 2.363 .009 10 .461 .184 .085 .041 .020 .010 2.258 .012 11 .539 .230 .111 .054 .027 .014 2.153 .016 12 .285 .142 .071 .036 .019 2.048 .020 13 .341 .177 .091 .047 .025 1.943 .026 14 .404 .217 .114 .060 .032 1.838 .033 15 .467 .262 .141 .076 .041 1.733 .041 16 .533 .311 .172 .095 .052 1.628 .052 17 .362 .207 .116 .065 1.523 .064 18 .416 .245 .140 .080 1.418 .078 19 .472 .286 .168 .097 1.313 .094 20 .528 .331 .198 .117 1.208 .113 21 .377 .232 .139 1.102 .135 22 .433 .268 .164 .995 .159 23 .478 .306 .191 .893 .185 24 .525 .347 .221 .788 .215 25 .389 .253 .683 .247 26 .433 .287 .578 .282 27 .478 .323 .478 .318 28 .522 .360 .368 .356 29 .399 .263 .396 30 .439 .158 .437 31 .480 .052 .481 32 .520