[PSY206 Homework 9]statistics psychology
Psychologists at Disney World measured factors that affect the scariness of the soundtrack for their Haunted
House ride. In particular, they were interested in the loudness of the screams (soft versus loud) and the length
of the screams (short versus long). They used a 2 × 2 factorial design to test how these factors combined.
They collected data from 10 different riders in each of the four conditions. Each rider rated the scariness of
the ride on a 9-point scale.
soft screams loud screams
short screams T = 59, n = 10, SS = 44.9 T = 63, n = 10, SS = 50.1
long screams T = 78, n = 10, SS = 19.6 T = 54, n = 10, SS = 42.4
For these data: G = 254, N = 40, P
X
2 = 1802
- Calculate SStotal the total sum of squares.
- Calculate SSwithin the within-treatment sum of squares.
- Calculate SSbetween the between-treatments sum of squares.
- Calculate SSA
the sum of squares for Factor A (length of scream). - Calculate SSB
the sum of squares for Factor B (loudness of scream). - Calculate SSA×B
the sum of squares for the interaction. - Calculate MSwithin, the within-treatments mean square.
- Calculate FA
, the F ratio for Factor A. - Calculate FB
, the F ratio for Factor B. - Calculate FA×B
, the F ratio for the interaction. - What are the degrees of freedom for these F ratios?
- Look up Fcrit, the critical value of F.
- Which of the main effects and/or the interaction is/are statistically significant?
- Calculate η
2
A - Calculate η
2
B - Calculate η
2
A×B
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