A developmental psychologist who wanted to see if children who started walking earlier performed better in the school divided 30 children into 3 groups: early walkers, middle walkers, and late walkers. At the end of second grade, the psychologist computed a composite school performance score based on teachers' reports. Here is the data: Early walkers: M=2.94 (SD=.61) Middle walkers: M=2.84 (SD=.70) Late walkers: M=2.77 (SD=.64) The psychologist ran an ANOVA and found that F(2,27) = .86. What jumps out at you about these results? Were these significant findings? Can you tell just by comparing the means? What number here tells you if there is the significance? You will have to go to the table to find the cutoff score to finish solving this puzzle.....then discuss this problem amongst yourselves. Note: You're not working anything out; you're just looking at the output I have provided.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.3: Special Probability Density Functions
Problem 10E
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A developmental psychologist who wanted to see if children who started walking earlier performed better in the school divided 30 children into 3 groups: early walkers, middle walkers, and late walkers.  At the end of second grade, the psychologist computed a composite school performance score based on teachers' reports.  Here is the data:

Early walkers: M=2.94 (SD=.61)

Middle walkers: M=2.84 (SD=.70)

Late walkers: M=2.77 (SD=.64)

The psychologist ran an ANOVA and found that F(2,27) = .86. 

What jumps out at you about these results?  Were these significant findings?  Can you tell just by comparing the means?  What number here tells you if there is the significance? 

You will have to go to the table to find the cutoff score to finish solving this puzzle.....then discuss this problem amongst yourselves.   

Note: You're not working anything out; you're just looking at the output I have provided.

 

Table A-4 Cutoff Scores for the Chi-Square Distribution
Significance Level
df
.10
.05
.01
2.706
3.841
6.635
2
4.605
5.992
9.211
3
6.252
7.815
11.345
4
7.780
9.488
13.277
9.237
11.071
15.087
10.645
12.592
16.812
12.017
14.067
18.475
8.
13.362
15.507
20.090
9.
14.684
16.919
21.666
10
15.987
18.307
23.209
Transcribed Image Text:Table A-4 Cutoff Scores for the Chi-Square Distribution Significance Level df .10 .05 .01 2.706 3.841 6.635 2 4.605 5.992 9.211 3 6.252 7.815 11.345 4 7.780 9.488 13.277 9.237 11.071 15.087 10.645 12.592 16.812 12.017 14.067 18.475 8. 13.362 15.507 20.090 9. 14.684 16.919 21.666 10 15.987 18.307 23.209
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Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,