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 |