In: Math
An educational psychologist is examining response times to an on-screen stimulus. The researcher believes there might be a weak effect from age, but expects a more pronounced effect for different color contrasts. She decides to examine a black on white (B/W) combination compared to 2 alternatives: red on white (R/W) and yellow on blue (Y/B). Here is the data for response times (in milliseconds):
Color Scheme | ||||
---|---|---|---|---|
B/W | R/W | Y/B | ||
Age | 16–17 | 10 26 16 22 11 36 31 22 |
20 19 31 7 43 16 20 23 |
7 20 33 43 3 22 24 19 |
18–19 | 26 18 25 13 34 15 17 21 |
17 35 37 39 47 36 15 19 |
30 30 44 22 35 35 27 22 |
|
20–21 | 20 29 29 18 23 25 41 26 |
28 19 25 18 40 30 26 28 |
16 38 27 25 42 42 35 39 |
Using MS Excel, conduct a 2-way ANOVA with α=0.05α=0.05. Fill in the summary table: P-values should be accurate to 4 decimal places and all other values accurate to 3 decimal places.
Source | SS | df | MS | F-ratio | P-value | Partial η2η2 |
---|---|---|---|---|---|---|
Age (AA) | 2 | |||||
Color (BB) | 2 | |||||
Interaction (A×B)(A×B) | 4 | |||||
Error | 63 |