StatTools : Sample Size for Paired Difference Table

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Tables of Sample Size for Paired Difference References
Abbreviations
α = alpha, p, Probability of Type I Error
Power = 1-β, 1-Probability of Type II Error
es = Effect Size = Mean of paired difference to be detected / Expected Standard Deviation of the paired difference
Value in cells = sample size = number of pairs
bold : commonly used sample sizes for small, moderate, and large effect size
Power0.80.90.95
α0.10.050.010.0010.10.050.010.0010.10.050.010.001
es1 tail2 tail1 tail2 tail1 tail2 tail1 tail2 tail1 tail2 tail1 tail2 tail1 tail2 tail1 tail2 tail1 tail2 tail1 tail2 tail1 tail2 tail1 tail2 tail
0.05180424752475314240184675618968362629342734274205521059557650836734274331433152006311712989749749
0.14526206207871007117215511713658858858105313051492191720968581084108413021580178522472442
0.1520227727735144952369276529338238246958266585593538248348358070479610021088
0.2114156156199254296392433166216216265329376483529215272272327397449566615
0.2573101101128164191253279106139139171211242311340138175175210256289364396
0.35171719011513417719674979711914816921823896122122147178202254277
0.3538525266859913114555727288109125161177719090108132149188205
0.429404051667710211342555568859712513755696984102115145158
0.452432324153618290344444546777100109445555678192116126
0.51927273443516774283636445563829036454554667595103
0.55162222283642566223303037465368753038384555637986
0.6141919243136485320262632394558642532323947536874
0.65121616212731424617222227343951552227273341465864
0.7111414182428374115191924303444491924242935405156
0.7591313162125333613171721263039431721212631354549
0.881212151922293312151519242735391519192328324044
0.8581010131720273010141417212432351317172025283640
0.979912161824279121215192229321215151823263336
0.9569911141722259111114182026291114141721243033
168810131521238101013161924271013131519222830
1.055771012141921710101215172325912121418202628
1.15779121318207991114162123811111316192426
1.155778111317196881013152022810101215172224
1.26681012161868810121419207991114162123
1.25667101115176779121318197991113152022
1.366791114165779111317186881013141920
1.3555791014155778101216176881012141819
1.45568101315566810111517677911131718
1.455568913146679111416577911121617
1.55568912146679101415577810121517
1.5567912135579101315566810111516
1.65781113557810131456679111415
1.6557811125568912146679101415
1.757811125568912136679101314
1.7556810115567912135578101314
1.856710116781112556891213
1.8556710115781112556891213
1.956710115781112556891113
1.95679105781011556791112
2679105681011556781112

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