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	6 2 42 22 19 30 18 19	18 2 6 42 2 19 21 23	8 20 20 3 34 24 14 29
	18–19	2 37 18 36 16 40 20 38	22 13 14 9 17 2 21 11	40 3 27 35 49 32 35 27
	20–21	2 39 16 18 27 24 21 23	40 26 2 28 30 28 19 18	21 32 47 3 43 30 40 47

Using SPSS (or similar software), conduct a 2-way mixed-effects ANOVA with $\displaystyle \alpha={0.05}$.  (In this context, there is a strong argument for one of the factors being treated as fixed with the other factor being treated as random.  Thus, you will need to decide which are the fixed and random factors for this analysis.)  Though not specifically assessed here, you are encouraged to examine the data for normality, outliers, group and marginal statistics, and generate a means plot.  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 ($\displaystyle {A}\times{B}$):