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	24 9 19 2 15 3 29 15	29 41 21 5 18 18 17 2	7 19 2 43 22 20 24 3
	18–19	10 15 12 14 23 18 2 22	38 39 41 37 21 17 2 19	2 26 31 39 26 34 48 34
	20–21	2 23 24 18 39 16 21 27	33 31 2 21 22 29 31 43	47 40 3 32 47 43 30 21

Using SPSS (or similar software), conduct a 2-way random-effects ANOVA with $\displaystyle \alpha={0.05}$.  Though not specifically assessed here, you are encouraged to examine the data for normality, outliers, group and marginal statistics, and generate a means plot.  Additionally, reflect on the appropriateness of a random-effects model for this context:  Might you suggest a different model, and if so, why?  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
Age ($\displaystyle {A}$)		2
Color ($\displaystyle {B}$)		2
Interaction $\displaystyle {\left({A}\times{B}\right)}$		4
Error		63
TOTAL		71

Provide the conclusions for this 2-way ANOVA.

What is the conclusion regarding the main effect for age ($\displaystyle {A}$ or rows): What is the conclusion regarding the main effect for color ($\displaystyle {B}$ or columns): What is the conclusion regarding an interaction effect between age and color ($\displaystyle {A}\times{B}$):