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Using bpstudy.sav, conduct an independent samples
t
test in SPSS with gender as the grouping variable (male = 1;
female = 2) and HR1 (heart rate) as the outcome variable.
Paste the SPSS output and then report:
The sample size for males (
n
1) and sample size for females (
n
2).
The means for males (
M
1) and females (
M
2) on HR1.
The calculated mean difference (
M
1 –
M
2).
The standard deviations for males (
s
1) and females (
s
2) on HR1.
The Levene test (homogeneity of variance assumption) and
interpretation.
t,
degrees of freedom,
t
value, and probability value. State whether or not to reject the
null hypothesis. Interpret the results.
Calculate Cohen's
d
effect size from the SPSS output and interpret it. Specifically,
if the homogeneity of variance assumption is met, divide the
mean difference (
M
1 –
M
2) by either
s
1 or
s
2. Violation of the homogeneity of variance assumption requires
calculation of
S
pooled. Homogeneity assumed:
Cohen's
d
= (
M
1 –
M
2) ÷
s
1 or Cohen's
d
= (
M
1 –
M
2) ÷
s
2
To be comprehensive, report Cohen's
d
based on a calculation with
s
1 and a calculation with
s
2. Round the effect size to two decimal places. Interpret
Cohen's
d
with Table 5.2 of your Warner text.
Section 2: Post-hoc Power Analysis
Open G*Power. Select the following options:
Test family =
t
tests.
Statistical test = Means: Difference between two independent
groups (two groups).
Type of power analysis = Post hoc: Compute achieved power.
Tails(s) = Two.
Effect size
d
= Cohen's
d
obtained from Section 1 above (using either
s
1 or
s
2).
α err prob = standard alpha level.
Sample size group 1 =
n
1 from Section 1 above.
Sample size group 2 =
n
2 from Section 1 above.
Click
Calculate
.
Provide a screen shot of your G*Power output. Report the
observed power of this post-hoc power analysis. Interpret the
level of power in terms of rejecting a null hypothesis. Do you
have sufficient power to reject a false null hypothesis?
Interpret power in terms of committing a Type II error.
Section 3: A Priori Power Analysis
In G*Power, now select:
Type of power analysis = A priori: Compute required sample
size.
Input effect size
d
from Section 1.
Specify α err prob.
Specify Power (1 - β) = .80.
Set the Allocation ratio to 1 (i.e., equal sample sizes).
Press Calculate.
Provide a screen shot of your G*Power output. Interpret the
meaning of a .80 power value. Specifically, report the estimated
n
1,
n
2, and total
N
to achieve obtain a power of .80. How many total subjects (
N
) would be needed to obtain a power of .80? Would you have
expected a required
N
of this size? Why or why not?
Next, in G*Power, change the Cohen's
d
effect size value obtained in Section 1 and set it to .50
(conventional "medium" effect size). Click
Calculate
. How many total subjects (
N)
are needed to obtain a power of .80? Compare and contrast
these two estimated
N
s.
In conclusion, reflect on the importance of conducting an a
priori power analysis in psychological research plans.

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Using bpstudy.sav, conduct an independent samples t test in

  • 1. Using bpstudy.sav, conduct an independent samples t test in SPSS with gender as the grouping variable (male = 1; female = 2) and HR1 (heart rate) as the outcome variable. Paste the SPSS output and then report: The sample size for males ( n 1) and sample size for females ( n 2). The means for males ( M 1) and females ( M 2) on HR1. The calculated mean difference ( M 1 – M 2). The standard deviations for males ( s 1) and females ( s 2) on HR1. The Levene test (homogeneity of variance assumption) and
  • 2. interpretation. t, degrees of freedom, t value, and probability value. State whether or not to reject the null hypothesis. Interpret the results. Calculate Cohen's d effect size from the SPSS output and interpret it. Specifically, if the homogeneity of variance assumption is met, divide the mean difference ( M 1 – M 2) by either s 1 or s 2. Violation of the homogeneity of variance assumption requires calculation of S pooled. Homogeneity assumed: Cohen's d = ( M 1 – M 2) ÷ s 1 or Cohen's d
  • 3. = ( M 1 – M 2) ÷ s 2 To be comprehensive, report Cohen's d based on a calculation with s 1 and a calculation with s 2. Round the effect size to two decimal places. Interpret Cohen's d with Table 5.2 of your Warner text. Section 2: Post-hoc Power Analysis Open G*Power. Select the following options: Test family = t tests. Statistical test = Means: Difference between two independent groups (two groups). Type of power analysis = Post hoc: Compute achieved power.
  • 4. Tails(s) = Two. Effect size d = Cohen's d obtained from Section 1 above (using either s 1 or s 2). α err prob = standard alpha level. Sample size group 1 = n 1 from Section 1 above. Sample size group 2 = n 2 from Section 1 above. Click Calculate . Provide a screen shot of your G*Power output. Report the observed power of this post-hoc power analysis. Interpret the level of power in terms of rejecting a null hypothesis. Do you have sufficient power to reject a false null hypothesis? Interpret power in terms of committing a Type II error. Section 3: A Priori Power Analysis In G*Power, now select:
  • 5. Type of power analysis = A priori: Compute required sample size. Input effect size d from Section 1. Specify α err prob. Specify Power (1 - β) = .80. Set the Allocation ratio to 1 (i.e., equal sample sizes). Press Calculate. Provide a screen shot of your G*Power output. Interpret the meaning of a .80 power value. Specifically, report the estimated n 1, n 2, and total N to achieve obtain a power of .80. How many total subjects ( N ) would be needed to obtain a power of .80? Would you have expected a required N of this size? Why or why not? Next, in G*Power, change the Cohen's d effect size value obtained in Section 1 and set it to .50 (conventional "medium" effect size). Click
  • 6. Calculate . How many total subjects ( N) are needed to obtain a power of .80? Compare and contrast these two estimated N s. In conclusion, reflect on the importance of conducting an a priori power analysis in psychological research plans.