Real Trial

Imagine you did a randomized control trial on your entire sampling frame of 2000. Imagine you got these results.

Out of 1000 people in the test arm (active/trial intervention)
had good outcome and
had bad outcome.

Out of 1000 people in the control arm (given standard care)
had good outcome and
had bad outcome.

Say you chose p-value < as signficant. This is the statistic you would have obtained.

𝛘² = 26.6667, p-value (right-tailed) = 0
Probability that a 𝛘² statistic having 1 degree of freedom is more extreme than 26.6667 is 0

Applying Yates's correction, 𝛘² = 26.136, p-value (right-tailed) = 0
Probability that a 𝛘² statistic having 1 degree of freedom is more extreme than 26.136 is 0

Now, suppose you do experiments of sample size 50, picking in the trial arm (active intervention) and in the control arm (standard treatment). The tables below are generated by randomly selecting from the sample frame above and running the experiment.

  1. Group Good outcome Bad outcome Total
    Trial 18 7 25
    Control 21 4 25
    Total 39 11 50

    𝛘² = 1.049, p-value (right-tailed) = 0.3057

    Applying Yates's correction, 𝛘² = 0.4662, p-value (right-tailed) = 0.4947

  2. Group Good outcome Bad outcome Total
    Trial 15 10 25
    Control 20 5 25
    Total 35 15 50

    𝛘² = 2.381, p-value (right-tailed) = 0.1228

    Applying Yates's correction, 𝛘² = 1.5238, p-value (right-tailed) = 0.217

  3. Group Good outcome Bad outcome Total
    Trial 19 6 25
    Control 19 6 25
    Total 38 12 50

    𝛘² = 0, p-value (right-tailed) = 1

    Applying Yates's correction, 𝛘² = 0.1096, p-value (right-tailed) = 0.7405

  4. Group Good outcome Bad outcome Total
    Trial 16 9 25
    Control 21 4 25
    Total 37 13 50

    𝛘² = 2.5988, p-value (right-tailed) = 0.1069

    Applying Yates's correction, 𝛘² = 1.6632, p-value (right-tailed) = 0.1972

  5. Group Good outcome Bad outcome Total
    Trial 17 8 25
    Control 20 5 25
    Total 37 13 50

    𝛘² = 0.9356, p-value (right-tailed) = 0.3334

    Applying Yates's correction, 𝛘² = 0.4158, p-value (right-tailed) = 0.519

  6. Group Good outcome Bad outcome Total
    Trial 16 9 25
    Control 22 3 25
    Total 38 12 50

    𝛘² = 3.9474, p-value (right-tailed) = 0.0469

    Applying Yates's correction, 𝛘² = 2.7412, p-value (right-tailed) = 0.0978

  7. Group Good outcome Bad outcome Total
    Trial 15 10 25
    Control 17 8 25
    Total 32 18 50

    𝛘² = 0.3472, p-value (right-tailed) = 0.5557

    Applying Yates's correction, 𝛘² = 0.0868, p-value (right-tailed) = 0.7683

  8. Group Good outcome Bad outcome Total
    Trial 18 7 25
    Control 16 9 25
    Total 34 16 50

    𝛘² = 0.3676, p-value (right-tailed) = 0.5443

    Applying Yates's correction, 𝛘² = 0.0919, p-value (right-tailed) = 0.7618

  9. Group Good outcome Bad outcome Total
    Trial 18 7 25
    Control 21 4 25
    Total 39 11 50

    𝛘² = 1.049, p-value (right-tailed) = 0.3057

    Applying Yates's correction, 𝛘² = 0.4662, p-value (right-tailed) = 0.4947

  10. Group Good outcome Bad outcome Total
    Trial 14 11 25
    Control 21 4 25
    Total 35 15 50

    𝛘² = 4.6667, p-value (right-tailed) = 0.0308

    Applying Yates's correction, 𝛘² = 3.4286, p-value (right-tailed) = 0.0641

  11. Group Good outcome Bad outcome Total
    Trial 18 7 25
    Control 21 4 25
    Total 39 11 50

    𝛘² = 1.049, p-value (right-tailed) = 0.3057

    Applying Yates's correction, 𝛘² = 0.4662, p-value (right-tailed) = 0.4947

  12. Group Good outcome Bad outcome Total
    Trial 18 7 25
    Control 21 4 25
    Total 39 11 50

    𝛘² = 1.049, p-value (right-tailed) = 0.3057

    Applying Yates's correction, 𝛘² = 0.4662, p-value (right-tailed) = 0.4947

  13. Group Good outcome Bad outcome Total
    Trial 18 7 25
    Control 19 6 25
    Total 37 13 50

    𝛘² = 0.104, p-value (right-tailed) = 0.7471

    Applying Yates's correction, 𝛘² = 0, p-value (right-tailed) = 1

  14. Group Good outcome Bad outcome Total
    Trial 21 4 25
    Control 22 3 25
    Total 43 7 50

    𝛘² = 0.1661, p-value (right-tailed) = 0.6836

    Applying Yates's correction, 𝛘² = 0, p-value (right-tailed) = 1

  15. Group Good outcome Bad outcome Total
    Trial 18 7 25
    Control 20 5 25
    Total 38 12 50

    𝛘² = 0.4386, p-value (right-tailed) = 0.5078

    Applying Yates's correction, 𝛘² = 0.1096, p-value (right-tailed) = 0.7405

  16. Group Good outcome Bad outcome Total
    Trial 18 7 25
    Control 19 6 25
    Total 37 13 50

    𝛘² = 0.104, p-value (right-tailed) = 0.7471

    Applying Yates's correction, 𝛘² = 0, p-value (right-tailed) = 1

  17. Group Good outcome Bad outcome Total
    Trial 18 7 25
    Control 20 5 25
    Total 38 12 50

    𝛘² = 0.4386, p-value (right-tailed) = 0.5078

    Applying Yates's correction, 𝛘² = 0.1096, p-value (right-tailed) = 0.7405

  18. Group Good outcome Bad outcome Total
    Trial 17 8 25
    Control 22 3 25
    Total 39 11 50

    𝛘² = 2.9138, p-value (right-tailed) = 0.0878

    Applying Yates's correction, 𝛘² = 1.8648, p-value (right-tailed) = 0.1721

  19. Group Good outcome Bad outcome Total
    Trial 20 5 25
    Control 21 4 25
    Total 41 9 50

    𝛘² = 0.1355, p-value (right-tailed) = 0.7128

    Applying Yates's correction, 𝛘² = 0, p-value (right-tailed) = 1

  20. Group Good outcome Bad outcome Total
    Trial 17 8 25
    Control 21 4 25
    Total 38 12 50

    𝛘² = 1.7544, p-value (right-tailed) = 0.1853

    Applying Yates's correction, 𝛘² = 0.9868, p-value (right-tailed) = 0.3205

  21. Group Good outcome Bad outcome Total
    Trial 20 5 25
    Control 22 3 25
    Total 42 8 50

    𝛘² = 0.5952, p-value (right-tailed) = 0.4404

    Applying Yates's correction, 𝛘² = 0.1488, p-value (right-tailed) = 0.6997

  22. Group Good outcome Bad outcome Total
    Trial 18 7 25
    Control 20 5 25
    Total 38 12 50

    𝛘² = 0.4386, p-value (right-tailed) = 0.5078

    Applying Yates's correction, 𝛘² = 0.1096, p-value (right-tailed) = 0.7405

  23. Group Good outcome Bad outcome Total
    Trial 20 5 25
    Control 22 3 25
    Total 42 8 50

    𝛘² = 0.5952, p-value (right-tailed) = 0.4404

    Applying Yates's correction, 𝛘² = 0.1488, p-value (right-tailed) = 0.6997

  24. Group Good outcome Bad outcome Total
    Trial 17 8 25
    Control 19 6 25
    Total 36 14 50

    𝛘² = 0.3968, p-value (right-tailed) = 0.5287

    Applying Yates's correction, 𝛘² = 0.0992, p-value (right-tailed) = 0.7528

  25. Group Good outcome Bad outcome Total
    Trial 14 11 25
    Control 18 7 25
    Total 32 18 50

    𝛘² = 1.3889, p-value (right-tailed) = 0.2386

    Applying Yates's correction, 𝛘² = 0.7813, p-value (right-tailed) = 0.3768

  26. Group Good outcome Bad outcome Total
    Trial 12 13 25
    Control 22 3 25
    Total 34 16 50

    𝛘² = 9.1912, p-value (right-tailed) = 0.0024

    Applying Yates's correction, 𝛘² = 7.4449, p-value (right-tailed) = 0.0064

  27. Group Good outcome Bad outcome Total
    Trial 20 5 25
    Control 20 5 25
    Total 40 10 50

    𝛘² = 0, p-value (right-tailed) = 1

    Applying Yates's correction, 𝛘² = 0.125, p-value (right-tailed) = 0.7237

  28. Group Good outcome Bad outcome Total
    Trial 15 10 25
    Control 21 4 25
    Total 36 14 50

    𝛘² = 3.5714, p-value (right-tailed) = 0.0588

    Applying Yates's correction, 𝛘² = 2.4802, p-value (right-tailed) = 0.1153

  29. Group Good outcome Bad outcome Total
    Trial 19 6 25
    Control 17 8 25
    Total 36 14 50

    𝛘² = 0.3968, p-value (right-tailed) = 0.5287

    Applying Yates's correction, 𝛘² = 0.0992, p-value (right-tailed) = 0.7528

  30. Group Good outcome Bad outcome Total
    Trial 19 6 25
    Control 22 3 25
    Total 41 9 50

    𝛘² = 1.2195, p-value (right-tailed) = 0.2695

    Applying Yates's correction, 𝛘² = 0.542, p-value (right-tailed) = 0.4616

  31. Group Good outcome Bad outcome Total
    Trial 18 7 25
    Control 20 5 25
    Total 38 12 50

    𝛘² = 0.4386, p-value (right-tailed) = 0.5078

    Applying Yates's correction, 𝛘² = 0.1096, p-value (right-tailed) = 0.7405

  32. Group Good outcome Bad outcome Total
    Trial 19 6 25
    Control 23 2 25
    Total 42 8 50

    𝛘² = 2.381, p-value (right-tailed) = 0.1228

    Applying Yates's correction, 𝛘² = 1.3393, p-value (right-tailed) = 0.2472

  33. Group Good outcome Bad outcome Total
    Trial 17 8 25
    Control 23 2 25
    Total 40 10 50

    𝛘² = 4.5, p-value (right-tailed) = 0.0339

    Applying Yates's correction, 𝛘² = 3.125, p-value (right-tailed) = 0.0771

  34. Group Good outcome Bad outcome Total
    Trial 17 8 25
    Control 21 4 25
    Total 38 12 50

    𝛘² = 1.7544, p-value (right-tailed) = 0.1853

    Applying Yates's correction, 𝛘² = 0.9868, p-value (right-tailed) = 0.3205

  35. Group Good outcome Bad outcome Total
    Trial 19 6 25
    Control 19 6 25
    Total 38 12 50

    𝛘² = 0, p-value (right-tailed) = 1

    Applying Yates's correction, 𝛘² = 0.1096, p-value (right-tailed) = 0.7405

  36. Group Good outcome Bad outcome Total
    Trial 21 4 25
    Control 18 7 25
    Total 39 11 50

    𝛘² = 1.049, p-value (right-tailed) = 0.3057

    Applying Yates's correction, 𝛘² = 0.4662, p-value (right-tailed) = 0.4947

  37. Group Good outcome Bad outcome Total
    Trial 18 7 25
    Control 21 4 25
    Total 39 11 50

    𝛘² = 1.049, p-value (right-tailed) = 0.3057

    Applying Yates's correction, 𝛘² = 0.4662, p-value (right-tailed) = 0.4947

  38. Group Good outcome Bad outcome Total
    Trial 11 14 25
    Control 20 5 25
    Total 31 19 50

    𝛘² = 6.8761, p-value (right-tailed) = 0.0087

    Applying Yates's correction, 𝛘² = 5.4329, p-value (right-tailed) = 0.0198

  39. Group Good outcome Bad outcome Total
    Trial 17 8 25
    Control 20 5 25
    Total 37 13 50

    𝛘² = 0.9356, p-value (right-tailed) = 0.3334

    Applying Yates's correction, 𝛘² = 0.4158, p-value (right-tailed) = 0.519

  40. Group Good outcome Bad outcome Total
    Trial 15 10 25
    Control 21 4 25
    Total 36 14 50

    𝛘² = 3.5714, p-value (right-tailed) = 0.0588

    Applying Yates's correction, 𝛘² = 2.4802, p-value (right-tailed) = 0.1153

  41. Group Good outcome Bad outcome Total
    Trial 19 6 25
    Control 19 6 25
    Total 38 12 50

    𝛘² = 0, p-value (right-tailed) = 1

    Applying Yates's correction, 𝛘² = 0.1096, p-value (right-tailed) = 0.7405

  42. Group Good outcome Bad outcome Total
    Trial 17 8 25
    Control 20 5 25
    Total 37 13 50

    𝛘² = 0.9356, p-value (right-tailed) = 0.3334

    Applying Yates's correction, 𝛘² = 0.4158, p-value (right-tailed) = 0.519

  43. Group Good outcome Bad outcome Total
    Trial 18 7 25
    Control 24 1 25
    Total 42 8 50

    𝛘² = 5.3571, p-value (right-tailed) = 0.0206

    Applying Yates's correction, 𝛘² = 3.7202, p-value (right-tailed) = 0.0538

  44. Group Good outcome Bad outcome Total
    Trial 21 4 25
    Control 19 6 25
    Total 40 10 50

    𝛘² = 0.5, p-value (right-tailed) = 0.4795

    Applying Yates's correction, 𝛘² = 0.125, p-value (right-tailed) = 0.7237

  45. Group Good outcome Bad outcome Total
    Trial 15 10 25
    Control 20 5 25
    Total 35 15 50

    𝛘² = 2.381, p-value (right-tailed) = 0.1228

    Applying Yates's correction, 𝛘² = 1.5238, p-value (right-tailed) = 0.217

  46. Group Good outcome Bad outcome Total
    Trial 12 13 25
    Control 20 5 25
    Total 32 18 50

    𝛘² = 5.5556, p-value (right-tailed) = 0.0184

    Applying Yates's correction, 𝛘² = 4.2535, p-value (right-tailed) = 0.0392

  47. Group Good outcome Bad outcome Total
    Trial 21 4 25
    Control 19 6 25
    Total 40 10 50

    𝛘² = 0.5, p-value (right-tailed) = 0.4795

    Applying Yates's correction, 𝛘² = 0.125, p-value (right-tailed) = 0.7237

  48. Group Good outcome Bad outcome Total
    Trial 19 6 25
    Control 17 8 25
    Total 36 14 50

    𝛘² = 0.3968, p-value (right-tailed) = 0.5287

    Applying Yates's correction, 𝛘² = 0.0992, p-value (right-tailed) = 0.7528

  49. Group Good outcome Bad outcome Total
    Trial 15 10 25
    Control 18 7 25
    Total 33 17 50

    𝛘² = 0.8021, p-value (right-tailed) = 0.3705

    Applying Yates's correction, 𝛘² = 0.3565, p-value (right-tailed) = 0.5505

  50. Group Good outcome Bad outcome Total
    Trial 19 6 25
    Control 22 3 25
    Total 41 9 50

    𝛘² = 1.2195, p-value (right-tailed) = 0.2695

    Applying Yates's correction, 𝛘² = 0.542, p-value (right-tailed) = 0.4616

  51. Group Good outcome Bad outcome Total
    Trial 18 7 25
    Control 17 8 25
    Total 35 15 50

    𝛘² = 0.0952, p-value (right-tailed) = 0.7576

    Applying Yates's correction, 𝛘² = 0, p-value (right-tailed) = 1

  52. Group Good outcome Bad outcome Total
    Trial 15 10 25
    Control 18 7 25
    Total 33 17 50

    𝛘² = 0.8021, p-value (right-tailed) = 0.3705

    Applying Yates's correction, 𝛘² = 0.3565, p-value (right-tailed) = 0.5505

  53. Group Good outcome Bad outcome Total
    Trial 19 6 25
    Control 16 9 25
    Total 35 15 50

    𝛘² = 0.8571, p-value (right-tailed) = 0.3545

    Applying Yates's correction, 𝛘² = 0.381, p-value (right-tailed) = 0.5371

  54. Group Good outcome Bad outcome Total
    Trial 17 8 25
    Control 20 5 25
    Total 37 13 50

    𝛘² = 0.9356, p-value (right-tailed) = 0.3334

    Applying Yates's correction, 𝛘² = 0.4158, p-value (right-tailed) = 0.519

  55. Group Good outcome Bad outcome Total
    Trial 19 6 25
    Control 19 6 25
    Total 38 12 50

    𝛘² = 0, p-value (right-tailed) = 1

    Applying Yates's correction, 𝛘² = 0.1096, p-value (right-tailed) = 0.7405

  56. Group Good outcome Bad outcome Total
    Trial 16 9 25
    Control 19 6 25
    Total 35 15 50

    𝛘² = 0.8571, p-value (right-tailed) = 0.3545

    Applying Yates's correction, 𝛘² = 0.381, p-value (right-tailed) = 0.5371

  57. Group Good outcome Bad outcome Total
    Trial 18 7 25
    Control 22 3 25
    Total 40 10 50

    𝛘² = 2, p-value (right-tailed) = 0.1573

    Applying Yates's correction, 𝛘² = 1.125, p-value (right-tailed) = 0.2888

  58. Group Good outcome Bad outcome Total
    Trial 18 7 25
    Control 19 6 25
    Total 37 13 50

    𝛘² = 0.104, p-value (right-tailed) = 0.7471

    Applying Yates's correction, 𝛘² = 0, p-value (right-tailed) = 1

  59. Group Good outcome Bad outcome Total
    Trial 17 8 25
    Control 20 5 25
    Total 37 13 50

    𝛘² = 0.9356, p-value (right-tailed) = 0.3334

    Applying Yates's correction, 𝛘² = 0.4158, p-value (right-tailed) = 0.519

  60. Group Good outcome Bad outcome Total
    Trial 21 4 25
    Control 20 5 25
    Total 41 9 50

    𝛘² = 0.1355, p-value (right-tailed) = 0.7128

    Applying Yates's correction, 𝛘² = 0, p-value (right-tailed) = 1

  61. Group Good outcome Bad outcome Total
    Trial 14 11 25
    Control 22 3 25
    Total 36 14 50

    𝛘² = 6.3492, p-value (right-tailed) = 0.0117

    Applying Yates's correction, 𝛘² = 4.8611, p-value (right-tailed) = 0.0275

  62. Group Good outcome Bad outcome Total
    Trial 19 6 25
    Control 20 5 25
    Total 39 11 50

    𝛘² = 0.1166, p-value (right-tailed) = 0.7328

    Applying Yates's correction, 𝛘² = 0, p-value (right-tailed) = 1

  63. Group Good outcome Bad outcome Total
    Trial 17 8 25
    Control 18 7 25
    Total 35 15 50

    𝛘² = 0.0952, p-value (right-tailed) = 0.7576

    Applying Yates's correction, 𝛘² = 0, p-value (right-tailed) = 1

  64. Group Good outcome Bad outcome Total
    Trial 15 10 25
    Control 20 5 25
    Total 35 15 50

    𝛘² = 2.381, p-value (right-tailed) = 0.1228

    Applying Yates's correction, 𝛘² = 1.5238, p-value (right-tailed) = 0.217

  65. Group Good outcome Bad outcome Total
    Trial 16 9 25
    Control 20 5 25
    Total 36 14 50

    𝛘² = 1.5873, p-value (right-tailed) = 0.2077

    Applying Yates's correction, 𝛘² = 0.8929, p-value (right-tailed) = 0.3447

  66. Group Good outcome Bad outcome Total
    Trial 22 3 25
    Control 21 4 25
    Total 43 7 50

    𝛘² = 0.1661, p-value (right-tailed) = 0.6836

    Applying Yates's correction, 𝛘² = 0, p-value (right-tailed) = 1

  67. Group Good outcome Bad outcome Total
    Trial 17 8 25
    Control 19 6 25
    Total 36 14 50

    𝛘² = 0.3968, p-value (right-tailed) = 0.5287

    Applying Yates's correction, 𝛘² = 0.0992, p-value (right-tailed) = 0.7528

  68. Group Good outcome Bad outcome Total
    Trial 16 9 25
    Control 22 3 25
    Total 38 12 50

    𝛘² = 3.9474, p-value (right-tailed) = 0.0469

    Applying Yates's correction, 𝛘² = 2.7412, p-value (right-tailed) = 0.0978

  69. Group Good outcome Bad outcome Total
    Trial 18 7 25
    Control 16 9 25
    Total 34 16 50

    𝛘² = 0.3676, p-value (right-tailed) = 0.5443

    Applying Yates's correction, 𝛘² = 0.0919, p-value (right-tailed) = 0.7618

  70. Group Good outcome Bad outcome Total
    Trial 20 5 25
    Control 18 7 25
    Total 38 12 50

    𝛘² = 0.4386, p-value (right-tailed) = 0.5078

    Applying Yates's correction, 𝛘² = 0.1096, p-value (right-tailed) = 0.7405

  71. Group Good outcome Bad outcome Total
    Trial 16 9 25
    Control 23 2 25
    Total 39 11 50

    𝛘² = 5.711, p-value (right-tailed) = 0.0169

    Applying Yates's correction, 𝛘² = 4.1958, p-value (right-tailed) = 0.0405

  72. Group Good outcome Bad outcome Total
    Trial 17 8 25
    Control 22 3 25
    Total 39 11 50

    𝛘² = 2.9138, p-value (right-tailed) = 0.0878

    Applying Yates's correction, 𝛘² = 1.8648, p-value (right-tailed) = 0.1721

  73. Group Good outcome Bad outcome Total
    Trial 12 13 25
    Control 24 1 25
    Total 36 14 50

    𝛘² = 14.2857, p-value (right-tailed) = 0.0002

    Applying Yates's correction, 𝛘² = 12.004, p-value (right-tailed) = 0.0005

  74. Group Good outcome Bad outcome Total
    Trial 17 8 25
    Control 20 5 25
    Total 37 13 50

    𝛘² = 0.9356, p-value (right-tailed) = 0.3334

    Applying Yates's correction, 𝛘² = 0.4158, p-value (right-tailed) = 0.519

  75. Group Good outcome Bad outcome Total
    Trial 14 11 25
    Control 18 7 25
    Total 32 18 50

    𝛘² = 1.3889, p-value (right-tailed) = 0.2386

    Applying Yates's correction, 𝛘² = 0.7813, p-value (right-tailed) = 0.3768

  76. Group Good outcome Bad outcome Total
    Trial 14 11 25
    Control 21 4 25
    Total 35 15 50

    𝛘² = 4.6667, p-value (right-tailed) = 0.0308

    Applying Yates's correction, 𝛘² = 3.4286, p-value (right-tailed) = 0.0641

  77. Group Good outcome Bad outcome Total
    Trial 18 7 25
    Control 21 4 25
    Total 39 11 50

    𝛘² = 1.049, p-value (right-tailed) = 0.3057

    Applying Yates's correction, 𝛘² = 0.4662, p-value (right-tailed) = 0.4947

  78. Group Good outcome Bad outcome Total
    Trial 17 8 25
    Control 18 7 25
    Total 35 15 50

    𝛘² = 0.0952, p-value (right-tailed) = 0.7576

    Applying Yates's correction, 𝛘² = 0, p-value (right-tailed) = 1

  79. Group Good outcome Bad outcome Total
    Trial 16 9 25
    Control 23 2 25
    Total 39 11 50

    𝛘² = 5.711, p-value (right-tailed) = 0.0169

    Applying Yates's correction, 𝛘² = 4.1958, p-value (right-tailed) = 0.0405

  80. Group Good outcome Bad outcome Total
    Trial 14 11 25
    Control 19 6 25
    Total 33 17 50

    𝛘² = 2.2282, p-value (right-tailed) = 0.1355

    Applying Yates's correction, 𝛘² = 1.426, p-value (right-tailed) = 0.2324

  81. Group Good outcome Bad outcome Total
    Trial 20 5 25
    Control 20 5 25
    Total 40 10 50

    𝛘² = 0, p-value (right-tailed) = 1

    Applying Yates's correction, 𝛘² = 0.125, p-value (right-tailed) = 0.7237

  82. Group Good outcome Bad outcome Total
    Trial 19 6 25
    Control 23 2 25
    Total 42 8 50

    𝛘² = 2.381, p-value (right-tailed) = 0.1228

    Applying Yates's correction, 𝛘² = 1.3393, p-value (right-tailed) = 0.2472

  83. Group Good outcome Bad outcome Total
    Trial 17 8 25
    Control 21 4 25
    Total 38 12 50

    𝛘² = 1.7544, p-value (right-tailed) = 0.1853

    Applying Yates's correction, 𝛘² = 0.9868, p-value (right-tailed) = 0.3205

  84. Group Good outcome Bad outcome Total
    Trial 17 8 25
    Control 20 5 25
    Total 37 13 50

    𝛘² = 0.9356, p-value (right-tailed) = 0.3334

    Applying Yates's correction, 𝛘² = 0.4158, p-value (right-tailed) = 0.519

  85. Group Good outcome Bad outcome Total
    Trial 20 5 25
    Control 21 4 25
    Total 41 9 50

    𝛘² = 0.1355, p-value (right-tailed) = 0.7128

    Applying Yates's correction, 𝛘² = 0, p-value (right-tailed) = 1

  86. Group Good outcome Bad outcome Total
    Trial 20 5 25
    Control 21 4 25
    Total 41 9 50

    𝛘² = 0.1355, p-value (right-tailed) = 0.7128

    Applying Yates's correction, 𝛘² = 0, p-value (right-tailed) = 1

  87. Group Good outcome Bad outcome Total
    Trial 13 12 25
    Control 20 5 25
    Total 33 17 50

    𝛘² = 4.3672, p-value (right-tailed) = 0.0366

    Applying Yates's correction, 𝛘² = 3.2086, p-value (right-tailed) = 0.0733

  88. Group Good outcome Bad outcome Total
    Trial 19 6 25
    Control 19 6 25
    Total 38 12 50

    𝛘² = 0, p-value (right-tailed) = 1

    Applying Yates's correction, 𝛘² = 0.1096, p-value (right-tailed) = 0.7405

  89. Group Good outcome Bad outcome Total
    Trial 19 6 25
    Control 21 4 25
    Total 40 10 50

    𝛘² = 0.5, p-value (right-tailed) = 0.4795

    Applying Yates's correction, 𝛘² = 0.125, p-value (right-tailed) = 0.7237

  90. Group Good outcome Bad outcome Total
    Trial 21 4 25
    Control 18 7 25
    Total 39 11 50

    𝛘² = 1.049, p-value (right-tailed) = 0.3057

    Applying Yates's correction, 𝛘² = 0.4662, p-value (right-tailed) = 0.4947

  91. Group Good outcome Bad outcome Total
    Trial 21 4 25
    Control 22 3 25
    Total 43 7 50

    𝛘² = 0.1661, p-value (right-tailed) = 0.6836

    Applying Yates's correction, 𝛘² = 0, p-value (right-tailed) = 1

  92. Group Good outcome Bad outcome Total
    Trial 20 5 25
    Control 20 5 25
    Total 40 10 50

    𝛘² = 0, p-value (right-tailed) = 1

    Applying Yates's correction, 𝛘² = 0.125, p-value (right-tailed) = 0.7237

  93. Group Good outcome Bad outcome Total
    Trial 18 7 25
    Control 22 3 25
    Total 40 10 50

    𝛘² = 2, p-value (right-tailed) = 0.1573

    Applying Yates's correction, 𝛘² = 1.125, p-value (right-tailed) = 0.2888

  94. Group Good outcome Bad outcome Total
    Trial 15 10 25
    Control 20 5 25
    Total 35 15 50

    𝛘² = 2.381, p-value (right-tailed) = 0.1228

    Applying Yates's correction, 𝛘² = 1.5238, p-value (right-tailed) = 0.217

  95. Group Good outcome Bad outcome Total
    Trial 16 9 25
    Control 18 7 25
    Total 34 16 50

    𝛘² = 0.3676, p-value (right-tailed) = 0.5443

    Applying Yates's correction, 𝛘² = 0.0919, p-value (right-tailed) = 0.7618

  96. Group Good outcome Bad outcome Total
    Trial 20 5 25
    Control 22 3 25
    Total 42 8 50

    𝛘² = 0.5952, p-value (right-tailed) = 0.4404

    Applying Yates's correction, 𝛘² = 0.1488, p-value (right-tailed) = 0.6997

  97. Group Good outcome Bad outcome Total
    Trial 15 10 25
    Control 21 4 25
    Total 36 14 50

    𝛘² = 3.5714, p-value (right-tailed) = 0.0588

    Applying Yates's correction, 𝛘² = 2.4802, p-value (right-tailed) = 0.1153

  98. Group Good outcome Bad outcome Total
    Trial 19 6 25
    Control 18 7 25
    Total 37 13 50

    𝛘² = 0.104, p-value (right-tailed) = 0.7471

    Applying Yates's correction, 𝛘² = 0, p-value (right-tailed) = 1

  99. Group Good outcome Bad outcome Total
    Trial 17 8 25
    Control 20 5 25
    Total 37 13 50

    𝛘² = 0.9356, p-value (right-tailed) = 0.3334

    Applying Yates's correction, 𝛘² = 0.4158, p-value (right-tailed) = 0.519

  100. Group Good outcome Bad outcome Total
    Trial 20 5 25
    Control 20 5 25
    Total 40 10 50

    𝛘² = 0, p-value (right-tailed) = 1

    Applying Yates's correction, 𝛘² = 0.125, p-value (right-tailed) = 0.7237

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