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Shapiro and Wilk 1965: W test on the weights of eleven men
| Tool | Data Summary and Outliers |
| Source | Shapiro, S. S., and Wilk, M. B. (1965). "An Analysis of Variance Test for Normality (Complete Samples)." Biometrika, Vol. 52, No. 3/4, pp. 591–611. Worked example, Section 4. |
| Level | Undergraduate |
Problem
The weights of eleven men are 148, 154, 158, 160, 161, 162, 166, 170, 182, 195 and 236 pounds. Test the sample for normality with the W statistic.
Inputs to Enter
- One column of the eleven weights
Answers
- W = 0.79 as printed (tool 0.7888, p = 0.0067 by the Royston algorithm): normality rejected
Notes
Paste the eleven values in place of the default columns; the paper reads p from its own table.
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