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/M) combination compared to 2 alternatives: red on white (RW) and yellow on blue (Y/B). Here is the data for response times (in milliseconds):

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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 contrasis. 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
32
20
25
44
35
21
34
10
44
16-17
21
23
20
21
21
24
4
21
17
25
15
19
15
25
35
23
38
47
18
39
22
30
Age 18-19
36
17
37
15
14
38
20
40
28
19
26
28
20-21
38
26
19
Using MS Excel, conduct a 2-wày 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.
Fratio
Partial
Source
df
MS
Pvalue
Age (A)
Color (B
Interaction (A x B)
2
4
Crror
63
Provide the conclusions for this 2-way ANOVA.
What is the conclusion regarding the main eflect for age (A or rows:
OThere appears to be an effect due to 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 eflect for color (Ber columnst
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 eflect between age and color (A x B:
O There appears to be an interaction effect between age and color.
O There is not enaugh evidence to reject the assumption af a lack of an interaction.
Transcribed Image Text: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 contrasis. 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 32 20 25 44 35 21 34 10 44 16-17 21 23 20 21 21 24 4 21 17 25 15 19 15 25 35 23 38 47 18 39 22 30 Age 18-19 36 17 37 15 14 38 20 40 28 19 26 28 20-21 38 26 19 Using MS Excel, conduct a 2-wày 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. Fratio Partial Source df MS Pvalue Age (A) Color (B Interaction (A x B) 2 4 Crror 63 Provide the conclusions for this 2-way ANOVA. What is the conclusion regarding the main eflect for age (A or rows: OThere appears to be an effect due to 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 eflect for color (Ber columnst 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 eflect between age and color (A x B: O There appears to be an interaction effect between age and color. O There is not enaugh evidence to reject the assumption af a lack of an interaction.
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