Another possible influential variable on IQ is seizures. Three groups of childre
ID: 3237496 • Letter: A
Question
Another possible influential variable on IQ is seizures. Three groups of children were now compared, those who had pediatric stroke and were experiencing seizures, those who had pediatric stroke were not experiencing seizures, and a control group of children who did not have pediatric stroke or seizures. The following data was analyzed.
Pediatric Stroke with Seizures
Deviation
Scores
Deviation2
Pediatric Stroke without Seizures
Deviation
Scores
Deviation2
Control Group
Deviation
Scores
Deviation2
65
90
100
72
95
112
79
92
106
60
108
98
74
85
104
Mean =
SS=
Mean =
SS=
Mean=
SS=
What type of statistical test would you use to analyze this data?
Now go through the 4 step process for hypothesis testing:
Step 1: State your hypotheses
Step 2: Degrees of freedom and critical value:
dfbetween =
dfwithin =
Alpha level = .05
critical value =
Step 3: Compute test statistic
Step 4: Make statistical conclusions (accept or reject the null hypothesis, please be sure to write how you came to this conclusion based on your critical value and your obtained test statistic)
The following post-hoc test was conducted. If it is appropriate to look at post-hoc tests for this analysis, use the following analysis to help you fill in the paragraph below.
Dependent Variable: ANOVA_IQ
LSD
(I) Project_ANOVA_Groups
(J) Project_ANOVA_Groups
Mean Difference (I-J)
Std. Error
Sig.
95% Confidence Interval
Lower Bound
Upper Bound
Seizures
No seizures
-24.00000
4.63321
.000
-34.0949
-13.9051
Control
-34.00000
4.63321
.000
-44.0949
-23.9051
No seizures
Seizures
24.00000
4.63321
.000
13.9051
34.0949
Control
-10.00000
4.63321
.052
-20.0949
.0949
Control
Seizures
34.00000
4.63321
.000
23.9051
44.0949
No seizures
10.00000
4.63321
.052
-.0949
20.0949
Make a substatiative conclusion about the post-hoc test - what do the results tell us about the difference in IQ between the three groups?
Pediatric Stroke with Seizures
Deviation
Scores
Deviation2
Pediatric Stroke without Seizures
Deviation
Scores
Deviation2
Control Group
Deviation
Scores
Deviation2
65
90
100
72
95
112
79
92
106
60
108
98
74
85
104
Mean =
SS=
Mean =
SS=
Mean=
SS=
Explanation / Answer
Answer:
ANOVA: Single Factor
SUMMARY
Groups
Count
Sum
Average
Variance
Pediatric Stroke with Seizures
5
350
70
56.5000
Pediatric Stroke without Seizures
5
470
94
74.5000
Control Group
5
520
104
30.0000
ANOVA
Source of Variation
SS
df
MS
F
P-value
F crit
Between Groups
3053.3333
2
1526.6667
28.4472
0.0000
3.8853
Within Groups
644.0000
12
53.6667
Total
3697.3333
14
Level of significance
0.05
What type of statistical test would you use to analyze this data?
Now go through the 4 step process for hypothesis testing:
Step 1: State your hypotheses
H_0: mu_1 = mu_2= mu_3
H1: At least one pair of population means are different
Step 2: Degrees of freedom and critical value:
dfbetween =2
dfwithin =12
Alpha level = .05
critical value =3.885
Step 3: Compute test statistic
F=28.447
Step 4: Make statistical conclusions (accept or reject the null hypothesis, please be sure to write how you came to this conclusion based on your critical value and your obtained test statistic)
Since calculated F=28.447 > 3.885 critical value, Null hypothesis is rejected.
The following post-hoc test was conducted. If it is appropriate to look at post-hoc tests for this analysis, use the following analysis to help you fill in the paragraph below.
Dependent Variable: ANOVA_IQ
LSD
(I) Project_ANOVA_Groups
(J) Project_ANOVA_Groups
Mean Difference (I-J)
Std. Error
Sig.
95% Confidence Interval
Lower Bound
Upper Bound
Seizures
No seizures
-24.00000
4.63321
.000
-34.0949
-13.9051
Control
-34.00000
4.63321
.000
-44.0949
-23.9051
No seizures
Seizures
24.00000
4.63321
.000
13.9051
34.0949
Control
-10.00000
4.63321
.052
-20.0949
.0949
Control
Seizures
34.00000
4.63321
.000
23.9051
44.0949
No seizures
10.00000
4.63321
.052
-.0949
20.0949
Make a substatiative conclusion about the post-hoc test - what do the results tell us about the difference in IQ between the three groups?
Seizures group is significant with No seizures group, P=0.000 which is <0.05 level of significance.
Seizures group is significant with Control group, P=0.000 which is <0.05 level of significance.
No Seizures group is not significant with Control group, P=0.052 which is > 0.05 level of significance.
ANOVA: Single Factor
SUMMARY
Groups
Count
Sum
Average
Variance
Pediatric Stroke with Seizures
5
350
70
56.5000
Pediatric Stroke without Seizures
5
470
94
74.5000
Control Group
5
520
104
30.0000
ANOVA
Source of Variation
SS
df
MS
F
P-value
F crit
Between Groups
3053.3333
2
1526.6667
28.4472
0.0000
3.8853
Within Groups
644.0000
12
53.6667
Total
3697.3333
14
Level of significance
0.05