20 Appendix – note about distribution tables

I have not had an opportunity to add in all of the distribution tables. I apologize.

I do have copies of tables linked in the Canvas Shell that helps support this textbook.

Tables I used are those found on the internet.

Z-score Area Distribution: have students use https://www.zscorecalculator.com/

T-Distribution Table (Two Tail)

df .10 .05 .01
1 6.314 12.706 63.656
2 2.920 4.303 9.925
3 2.353 3.182 5.841
4 2.132 2.776 4.604
5 2.015 2.571 4.032
6 1.943 2.447 3.707
7 1.895 2.365 3.499
8 1.860 2.306 3.355
9 1.833 2.262 3.250
10 1.812 2.228 3.169
11 1.796 2.201 3.106
12 1.782 2.179 3.055
13 1.771 2.160 3.012
14 1.761 2.145 2.977
15 1.753 2.131 2.947
16 1.746 2.120 2.921
17 1.740 2.110 2.898
18 1.734 2.101 2.878
19 1.729 2.093 2.861
20 1.725 2.086 2.845
21 1.721 2.080 2.831
22 1.717 2.074 2.819
23 1.714 2.069 2.807
24 1.711 2.064 2.797
25 1.708 2.060 2.787
26 1.706 2.056 2.779
27 1.703 2.052 2.771
28 1.701 2.048 2.763
29 1.699 2.045 2.756
30 1.697 2.042 2.750
60 1.671 2.000 2.660
120 1.658 1.980 2.617

F distribution tables

  dfBetween
0.10 significance level 1 2 3 4 5 6 7 8
dfWithin 1 39.86 49.50 53.59 55.83 57.24 58.20 58.91 59.44
2 8.53 9.00 9.16 9.24 9.29 9.33 9.35 9.37
3 5.54 5.46 5.39 5.34 5.31 5.28 5.27 5.25
4 4.54 4.32 4.19 4.11 4.05 4.01 3.98 3.95
5 4.06 3.78 3.62 3.52 3.45 3.40 3.37 3.34
6 3.78 3.46 3.29 3.18 3.11 3.05 3.01 2.98
7 3.59 3.26 3.07 2.96 2.88 2.83 2.78 2.75
8 3.46 3.11 2.92 2.81 2.73 2.67 2.62 2.59
9 3.36 3.01 2.81 2.69 2.61 2.55 2.51 2.47
10 3.29 2.92 2.73 2.61 2.52 2.46 2.41 2.38
11 3.23 2.86 2.66 2.54 2.45 2.39 2.34 2.30
12 3.18 2.81 2.61 2.48 2.39 2.33 2.28 2.24
13 3.14 2.76 2.56 2.43 2.35 2.28 2.23 2.20
14 3.10 2.73 2.52 2.39 2.31 2.24 2.19 2.15
15 3.07 2.70 2.49 2.36 2.27 2.21 2.16 2.12
16 3.05 2.67 2.46 2.33 2.24 2.18 2.13 2.09
17 3.03 2.64 2.44 2.31 2.22 2.15 2.10 2.06
18 3.01 2.62 2.42 2.29 2.20 2.13 2.08 2.04
19 2.99 2.61 2.40 2.27 2.18 2.11 2.06 2.02
20 2.97 2.59 2.38 2.25 2.16 2.09 2.04 2.00
21 2.96 2.57 2.36 2.23 2.14 2.08 2.02 1.98
22 2.95 2.56 2.35 2.22 2.13 2.06 2.01 1.97
23 2.94 2.55 2.34 2.21 2.11 2.05 1.99 1.95
24 2.93 2.54 2.33 2.19 2.10 2.04 1.98 1.94
25 2.92 2.53 2.32 2.18 2.09 2.02 1.97 1.93
26 2.91 2.52 2.31 2.17 2.08 2.01 1.96 1.92
27 2.90 2.51 2.30 2.17 2.07 2.00 1.95 1.91
28 2.89 2.50 2.29 2.16 2.06 2.00 1.94 1.90
29 2.89 2.50 2.28 2.15 2.06 1.99 1.93 1.89
30 2.88 2.49 2.28 2.14 2.05 1.98 1.93 1.88
40 2.84 2.44 2.23 2.09 2.00 1.93 1.87 1.83
60 2.79 2.39 2.18 2.04 1.95 1.87 1.82 1.77
120 2.75 2.35 2.13 1.99 1.90 1.82 1.77 1.72
infinity 2.71 2.30 2.08 1.94 1.85 1.77 1.72 1.67

 

dfBetween
0.05 significance level 1 2 3 4 5 6 7 8
dfWithin 1 161.4 199.5 215.7 224.6 230.2 234 236.8 238.9
2 18.51 19.00 19.16 19.25 19.30 19.33 19.35 19.37
3 10.13 9.55 9.28 9.12 9.01 8.94 8.89 8.85
4 7.71 6.94 6.59 6.39 6.26 6.16 6.09 6.04
5 6.61 5.79 5.41 5.19 5.05 4.95 4.88 4.82
6 5.99 5.14 4.76 4.53 4.39 4.28 4.21 4.15
7 5.59 4.74 4.35 4.12 3.97 3.87 3.79 3.73
8 5.32 4.46 4.07 3.84 3.69 3.58 3.50 3.44
9 5.12 4.26 3.86 3.63 3.48 3.37 3.29 3.23
10 4.96 4.10 3.71 3.48 3.33 3.22 3.14 3.07
11 4.84 3.98 3.59 3.36 3.20 3.09 3.01 2.95
12 4.75 3.89 3.49 3.26 3.11 3.00 2.91 2.85
13 4.67 3.81 3.41 3.18 3.03 2.92 2.83 2.77
14 4.60 3.74 3.34 3.11 2.96 2.85 2.76 2.70
15 4.54 3.68 3.29 3.06 2.90 2.79 2.71 2.64
16 4.49 3.63 3.24 3.01 2.85 2.74 2.66 2.59
17 4.45 3.59 3.20 2.96 2.81 2.70 2.61 2.55
18 4.41 3.55 3.16 2.93 2.77 2.66 2.58 2.51
19 4.38 3.52 3.13 2.90 2.74 2.63 2.54 2.48
20 4.35 3.49 3.10 2.87 2.71 2.60 2.51 2.45
21 4.32 3.47 3.07 2.84 2.68 2.57 2.49 2.42
22 4.30 3.44 3.05 2.82 2.66 2.55 2.46 2.40
23 4.28 3.42 3.03 2.80 2.64 2.53 2.44 2.37
24 4.26 3.40 3.01 2.78 2.62 2.51 2.42 2.36
25 4.24 3.39 2.99 2.76 2.60 2.49 2.40 2.34
26 4.23 3.37 2.98 2.74 2.59 2.47 2.39 2.32
27 4.21 3.35 2.96 2.73 2.57 2.46 2.37 2.31
28 4.20 3.34 2.95 2.71 2.56 2.45 2.36 2.29
29 4.18 3.33 2.93 2.70 2.55 2.43 2.35 2.28
30 4.17 3.32 2.92 2.69 2.53 2.42 2.33 2.27
40 4.08 3.23 2.84 2.61 2.45 2.34 2.25 2.18
60 4.00 3.15 2.76 2.53 2.37 2.25 2.17 2.10
120 3.92 3.07 2.68 2.45 2.29 2.17 2.09 2.02
infinity 3.84 3.00 2.60 2.37 2.21 2.10 2.01 1.94

 

 

dfBetween
0.01 significance level 1 2 3 4 5 6 7 8
dfWithin 1 4052 5000 5403 5625 5764 5859 5928 5982
2 98.50 99.00 99.17 99.25 99.30 99.33 99.36 99.37
3 34.12 30.82 29.46 28.71 28.24 27.91 27.67 27.49
4 21.20 18.00 16.69 15.98 15.52 15.21 14.98 14.80
5 16.26 13.27 12.06 11.39 10.97 10.67 10.46 10.29
6 13.75 10.92 9.78 9.15 8.75 8.47 8.26 8.10
7 12.25 9.55 8.45 7.85 7.46 7.19 6.99 6.84
8 11.26 8.65 7.59 7.01 6.63 6.37 6.18 6.03
9 10.56 8.02 6.99 6.42 6.06 5.80 5.61 5.47
10 10.04 7.56 6.55 5.99 5.64 5.39 5.20 5.06
11 9.65 7.21 6.22 5.67 5.32 5.07 4.89 4.74
12 9.33 6.93 5.95 5.41 5.06 4.82 4.64 4.50
13 9.07 6.70 5.74 5.21 4.86 4.62 4.44 4.30
14 8.86 6.51 5.56 5.04 4.69 4.46 4.28 4.14
15 8.68 6.36 5.42 4.89 4.56 4.32 4.14 4.00
16 8.53 6.23 5.29 4.77 4.44 4.20 4.03 3.89
17 8.40 6.11 5.18 4.67 4.34 4.10 3.93 3.79
18 8.29 6.01 5.09 4.58 4.25 4.01 3.84 3.71
19 8.18 5.93 5.01 4.50 4.17 3.94 3.77 3.63
20 8.10 5.85 4.94 4.43 4.10 3.87 3.70 3.56
21 8.02 5.78 4.87 4.37 4.04 3.81 3.64 3.51
22 7.95 5.72 4.82 4.31 3.99 3.76 3.59 3.45
23 7.88 5.66 4.76 4.26 3.94 3.71 3.54 3.41
24 7.82 5.61 4.72 4.22 3.90 3.67 3.50 3.36
25 7.77 5.57 4.68 4.18 3.85 3.63 3.46 3.32
26 7.72 5.53 4.64 4.14 3.82 3.59 3.42 3.29
27 7.68 5.49 4.60 4.11 3.78 3.56 3.39 3.26
28 7.64 5.45 4.57 4.07 3.75 3.53 3.36 3.23
29 7.60 5.42 4.54 4.04 3.73 3.50 3.33 3.20
30 7.56 5.39 4.51 4.02 3.70 3.47 3.30 3.17
40 7.31 5.18 4.31 3.83 3.51 3.29 3.12 2.99
60 7.08 4.98 4.13 3.65 3.34 3.12 2.95 2.82
120 6.85 4.79 3.95 3.48 3.17 2.96 2.79 2.66
infinity 6.63 4.61 3.78 3.32 3.02 2.80 2.64 2.51

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Introduction to Statistics for Psychology Copyright © 2021 by Alisa Beyer is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License, except where otherwise noted.

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