MS JUNE 2024
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Paper
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Advanced
PAPER 2: Applications of psychology
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P75769A
©2024 Pearson Education Ltd.
F:1/1/1/1
, FORMULAE AND STATISTICAL TABLES
Standard deviation (sample estimate)
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( x − x )2
n −1
Spearman’s rank correlation coefficient
6d2
n (n2 −1)
1−
Critical values for Spearman’s rank
Level of significance for a one-tailed test
0.05 0.025 0.01 0.005 0.0025
Level of significance for a two-tailed test
N 0.10 0.05 0.025 0.01 0.005
5 0.900 1.000 1.000 1.000 1.000
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6 0.829 0.886 0.943 1.000 1.000
7 0.714 0.786 0.893 0.929 0.964
8 0.643 0.738 0.833 0.881 0.905
9 0.600 0.700 0.783 0.833 0.867
10 0.564 0.648 0.745 0.794 0.830
11 0.536 0.618 0.709 0.755 0.800
12 0.503 0.587 0.678 0.727 0.769
13 0.484 0.560 0.648 0.703 0.747
14 0.464 0.538 0.626 0.679 0.723
15 0.446 0.521 0.604 0.654 0.700
16 0.429 0.503 0.582 0.635 0.679
17 0.414 0.485 0.566 0.615 0.662
18 0.401 0.472 0.550 0.600 0.643
19 0.391 0.460 0.535 0.584 0.628
20 0.380 0.447 0.520 0.570 0.612
21 0.370 0.435 0.508 0.556 0.599
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22 0.361 0.425 0.496 0.544 0.586
23 0.353 0.415 0.486 0.532 0.573
24 0.344 0.406 0.476 0.521 0.562
25 0.337 0.398 0.466 0.511 0.551
26 0.331 0.390 0.457 0.501 0.541
27 0.324 0.382 0.448 0.491 0.531
28 0.317 0.375 0.440 0.483 0.522
29 0.312 0.368 0.433 0.475 0.513
30 0.306 0.362 0.425 0.467 0.504
The calculated value must be equal to or exceed the critical value in this table for
significance to be shown.
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, Chi-squared distribution formula
(O − E )
2
X2 = df = (r −1)(c −1)
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E
Critical values for chi-squared distribution
Level of significance for a one-tailed test
0.10 0.05 0.025 0.01 0.005 0.0005
Level of significance for a two-tailed test
df 0.20 0.10 0.05 0.025 0.01 0.001
1 1.64 2.71 3.84 5.02 6.64 10.83
2 3.22 4.61 5.99 7.38 9.21 13.82
3 4.64 6.25 7.82 9.35 11.35 16.27
4 5.99 7.78 9.49 11.14 13.28 18.47
5 7.29 9.24 11.07 12.83 15.09 20.52
6 8.56 10.65 12.59 14.45 16.81 22.46
7 9.80 12.02 14.07 16.01 18.48 24.32
8 11.03 13.36 15.51 17.54 20.09 26.12
9 12.24 14.68 16.92 19.02 21.67 27.88
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10 13.44 15.99 18.31 20.48 23.21 29.59
11 14.63 17.28 19.68 21.92 24.73 31.26
12 15.81 18.55 21.03 23.34 26.22 32.91
13 16.99 19.81 22.36 24.74 27.69 34.53
14 18.15 21.06 23.69 26.12 29.14 36.12
15 19.31 22.31 25.00 27.49 30.58 37.70
16 20.47 23.54 26.30 28.85 32.00 39.25
17 21.62 24.77 27.59 30.19 33.41 40.79
18 22.76 25.99 28.87 31.53 34.81 42.31
19 23.90 27.20 30.14 32.85 36.19 43.82
20 25.04 28.41 31.41 34.17 37.57 45.32
21 26.17 29.62 32.67 35.48 38.93 46.80
22 27.30 30.81 33.92 36.78 40.29 48.27
23 28.43 32.01 35.17 38.08 41.64 49.73
24 29.55 33.20 36.42 39.36 42.98 51.18
25 30.68 34.38 37.65 40.65 44.31 52.62
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26 31.80 35.56 38.89 41.92 45.64 54.05
27 32.91 36.74 40.11 43.20 46.96 55.48
28 34.03 37.92 41.34 44.46 48.28 56.89
29 35.14 39.09 42.56 45.72 49.59 58.30
30 36.25 40.26 43.77 46.98 50.89 59.70
40 47.27 51.81 55.76 59.34 63.69 73.40
50 58.16 63.17 67.51 71.42 76.15 86.66
60 68.97 74.40 79.08 83.30 88.38 99.61
70 79.72 85.53 90.53 95.02 100.43 112.32
The calculated value must be equal to or exceed the critical value in this table for
significance to be shown.
3
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