Question

Researchers were curious on how accurate people are at judging distances in different body orientations. Participants viewed a target shown in front of them while "standing" (upright), "supine" (lying down on their back), or "prone" (lying on their stomach). They had to judge how far away the target was from them (in centimetres), then the researchers recorded the errors they made.

Using the data below, conduct a repeated measure ANOVA to determine whether different body orientations make any difference in people's judgment of distance. Use α = .05. Report η², and if the ANOVA is significant conduct a post-hoc test using Tukey’s HSD. Finally, please state all the steps in detail and the formulas you used and report your conclusion clearly in words. All calculations must be done by hand

Subject          Standing          Supine          Prone

1                        -1                     -4                 -2

2                        -3                     -2                 -3

3                         2                       2                 -1

4                         0                     -2                 -3

5                         2                     -1                   0

6                        -3                     -5                 -4

7                         4                       1                  0

8                        -2                     -3                 -2

9                         0                     -1                 -3

10                      -1                     -4                 -3

∑X²                    48                     81                61

SS                     47.6                  44.9             16.9

Answer 1