In the Chapter Preview we described a study  showing that students had more academic problems following nights with less than average sleep  compared to nights with more than average sleep (Gillen-O’Neel, Huynh, & Fuligni, 2013). Suppose  a researcher is attempting to replicate this study  using a sample of n = 8 college freshmen. Each  student records the amount of study time and amount of sleep each night and reports the number of  academic problems each day. The following data show the results from the study Treat the data as if the scores are from an independent-measures study using two separate samples, each with n = 8 participants. Compute the pooled variance, the estimated standard error for the mean difference, and the independent-measures t statistic. Using a two-tailed test with α = .05, is there a significant difference between the two sets of scores? b. Now assume that the data are from a repeatedmeasures study using the same sample of n = 8 participants in both treatment conditions. Compute the variance for the sample of difference scores, the estimated standard error for the mean difference and the repeated-measures t statistic. Using a two-tailed test with α = .05, is there a significant difference between the two sets of scores? (You should find that the repeated-measures design substantially reduces the variance and increases the  likelihood of rejecting H0.

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In the Chapter Preview we described a study  showing that students had more academic problems following nights with less than average sleep  compared to nights with more than average sleep (Gillen-O’Neel, Huynh, & Fuligni, 2013). Suppose  a researcher is attempting to replicate this study  using a sample of n = 8 college freshmen. Each  student records the amount of study time and amount of sleep each night and reports the number of  academic problems each day. The following data show the results from the study

  1. Treat the data as if the scores are from an independent-measures study using two separate samples, each with n = 8 participants. Compute the pooled variance, the estimated standard error for the mean difference, and the independent-measures t statistic. Using a two-tailed test with α = .05, is there a significant difference between the two sets of scores? b. Now assume that the data are from a repeatedmeasures study using the same sample of n = 8 participants in both treatment conditions. Compute the variance for the sample of difference scores, the estimated standard error for the mean difference and the repeated-measures t statistic. Using a two-tailed test with α = .05, is there a significant difference between the two sets of scores? (You should find that the repeated-measures design substantially reduces the variance and increases the  likelihood of rejecting H0.
20. Participants enter a research study with unique
characteristics that produce different scores from
one person to another. For an independent-measures
study, these individual differences can canse prob-
lems. Identify the problems and briefly explain how
they are eliminated or reduced with a repeated-
measures study.
22. The prev
ing indiv
variance
benefit on
consisten
for examp
in the mo
21. In the Chapter Preview we described a study
showing that students had more academic problems
following nights with less than average sleep
compared to nights with more than average sleep
(Gillen-O'Neel, Huynh, & Fuligni, 2013). Suppose
a researcher is attempting to replicate this study
using a sample of n = 8 college freshmen. Each
student records the amount of study time and amount
of sleep each night and reports the number of
academic problems each day. The following data
show the results from the study.
Scores in
pants with
also had ti
To constru
the scores
in treatme
individual
Number of
Number of Academic Problems
Student
Following Nights
with Above
Average Sleep
Following Nights
with Below
Average Sleep
Student
B.
10
13
B.
8.
E
5.
6.
D
H.
F
10
14
11
13
a. Treat the
dent-me
each wit
nore with Microsoft Edge - the fast, new browser built for Windows 10.
Transcribed Image Text:20. Participants enter a research study with unique characteristics that produce different scores from one person to another. For an independent-measures study, these individual differences can canse prob- lems. Identify the problems and briefly explain how they are eliminated or reduced with a repeated- measures study. 22. The prev ing indiv variance benefit on consisten for examp in the mo 21. In the Chapter Preview we described a study showing that students had more academic problems following nights with less than average sleep compared to nights with more than average sleep (Gillen-O'Neel, Huynh, & Fuligni, 2013). Suppose a researcher is attempting to replicate this study using a sample of n = 8 college freshmen. Each student records the amount of study time and amount of sleep each night and reports the number of academic problems each day. The following data show the results from the study. Scores in pants with also had ti To constru the scores in treatme individual Number of Number of Academic Problems Student Following Nights with Above Average Sleep Following Nights with Below Average Sleep Student B. 10 13 B. 8. E 5. 6. D H. F 10 14 11 13 a. Treat the dent-me each wit nore with Microsoft Edge - the fast, new browser built for Windows 10.
%20Larry%20B%20-%20Statistics%20for%20the%20behavioral%20sc
it to width
Page view
A Read aloud
PROBLEMS
363
a. Treat the data as if the scores are from an indepen-
dent-measures study using two separate samples,
each with n=
8 participants. Compute the pooled
variance, the estimated standard error for the
mean difference, and the independent-measures
I statistic. Using a two-tailed test with a =
there a significant difference between the two sets
of scores?
b. Now assume that the data are from a repeated-
measures study using the same sample of n = 8
participants in both treatment conditions. Compute
the variance for the sample of difference scores,
the estimated standard error for the mean differ-
ence and the repeated-measures f statistic. Using a
two-tailed tes with a
difference between the two sels of scores? (You
should find that the repeated-measures design sub-
stantially reduces the variance and increases the
likelihood of rejecting /,)
.05, is
05, is there a significant
22. The previous problem demonstrates that remov
ing individual differences can substantially reduce
variance and lower the sAndard erroT. However this
Transcribed Image Text:%20Larry%20B%20-%20Statistics%20for%20the%20behavioral%20sc it to width Page view A Read aloud PROBLEMS 363 a. Treat the data as if the scores are from an indepen- dent-measures study using two separate samples, each with n= 8 participants. Compute the pooled variance, the estimated standard error for the mean difference, and the independent-measures I statistic. Using a two-tailed test with a = there a significant difference between the two sets of scores? b. Now assume that the data are from a repeated- measures study using the same sample of n = 8 participants in both treatment conditions. Compute the variance for the sample of difference scores, the estimated standard error for the mean differ- ence and the repeated-measures f statistic. Using a two-tailed tes with a difference between the two sels of scores? (You should find that the repeated-measures design sub- stantially reduces the variance and increases the likelihood of rejecting /,) .05, is 05, is there a significant 22. The previous problem demonstrates that remov ing individual differences can substantially reduce variance and lower the sAndard erroT. However this
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