An educational psychologist is examining response times to an on-screen stimulus. The researcher believes there might be a wnak effect from age, but expectsa more pronounced effect for different color contrasts. She decides to examine a alack on white (BW) combination compared to 2 alternatives: red on white (R/W) and yellow on blue (Y/E). Here is the data for response times (in milliseconds): Color Scheme

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An educational psychologist is examining response times Lo an on-screen stimulus. The researcher believes there might be a weak effect from age, but expects a more pronounced eflect for different color contrasts. She decides to examine a
black on white (BW) combination compared to 2 alternatives: red on white (R/W) and yellow on blue (Y/D). Here is the data for response times (in millisecands):
Color Scheme
B/W
R/W
Y/B
43
22
21
16
24
25
20
33
15
19
16-17
10
23
43
30
31
19
21
35
20
20
24
37
23
15
28
16
39
23
17
19
31
Age 18-19
12
17
36
14
36
36
33
35
31
20
47
45
24
29
39
28
41
26
28
20
22
26
20-21
17
31
40
40
27
43
25
28
19
29
36
Using MS Excel, conduct a 2-way ANOVA with a = 0.05. Fill in the summary table: Pvalues should be accurate to 4 decimal places and all other values accurate to 3 decimal places.
Partial
Source
df
MS
Fratio
Pvalue
Age (A)
Color (B)
Interaction (A x B)
2
4
Error
63
Provide the conclusions for this 2 way ANOVA.
What is the conclusion regarding the main eflect for age (A or rows:
O There appears to be an effect due o age.
O There is not enaugh evidence to reject the assumption that the marginal means across age groups are equal.
What is the conclusion regarding the main effect for color (Bor columns
OThere appears to be an effect due to color.
O There is not enough evidence to reject the assumption that the marginal means across color groups are equal.
What is the conclusion regarding an interaction effect between age and color (A x B):
O There appears to be an interaction effect between age and color.
O There is not enough evidence to reject the assumption of a lack of an interaction.
Transcribed Image Text:An educational psychologist is examining response times Lo an on-screen stimulus. The researcher believes there might be a weak effect from age, but expects a more pronounced eflect for different color contrasts. She decides to examine a black on white (BW) combination compared to 2 alternatives: red on white (R/W) and yellow on blue (Y/D). Here is the data for response times (in millisecands): Color Scheme B/W R/W Y/B 43 22 21 16 24 25 20 33 15 19 16-17 10 23 43 30 31 19 21 35 20 20 24 37 23 15 28 16 39 23 17 19 31 Age 18-19 12 17 36 14 36 36 33 35 31 20 47 45 24 29 39 28 41 26 28 20 22 26 20-21 17 31 40 40 27 43 25 28 19 29 36 Using MS Excel, conduct a 2-way ANOVA with a = 0.05. Fill in the summary table: Pvalues should be accurate to 4 decimal places and all other values accurate to 3 decimal places. Partial Source df MS Fratio Pvalue Age (A) Color (B) Interaction (A x B) 2 4 Error 63 Provide the conclusions for this 2 way ANOVA. What is the conclusion regarding the main eflect for age (A or rows: O There appears to be an effect due o age. O There is not enaugh evidence to reject the assumption that the marginal means across age groups are equal. What is the conclusion regarding the main effect for color (Bor columns OThere appears to be an effect due to color. O There is not enough evidence to reject the assumption that the marginal means across color groups are equal. What is the conclusion regarding an interaction effect between age and color (A x B): O There appears to be an interaction effect between age and color. O There is not enough evidence to reject the assumption of a lack of an interaction.
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