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This data was taken from the National Longitudinal Study of Adolescent Health. It is a cross-sectional sample of participants from grades 7–12, described and analyzed by Warne (2014).
1 | data("AddHealth")
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A data frame with 4344 observations on the following 3 variables.
grade
an ordered factor with levels 7
< 8
< 9
< 10
< 11
< 12
depression
a numeric vector
anxiety
a numeric vector
depression
is the response to the question
"In the last month, how often did you feel depressed or blue?"
anxiety
is the response to the question
"In the last month, how often did you have trouble relaxing?"
The responses for depression
and anxiety
were recorded on a
5-point Likert scale, with
categories
0="Never", 1="Rarely", 2="Occasionally", 3="Often", 4="Every day"
Warne, R. T. (2014). A primer on Multivariate Analysis of Variance (MANOVA) for Behavioral Scientists. Practical Assessment, Research & Evaluation, 19 (1). http://pareonline.net/getvn.asp?v=19&n=17
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Loading required package: car
Loading required package: carData
Type II MANOVA Tests: Pillai test statistic
Df test stat approx F num Df den Df Pr(>F)
grade 5 0.022415 9.834 10 8676 < 2.2e-16 ***
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Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Type II MANOVA Tests:
Sum of squares and products for error:
depression anxiety
depression 6058.911 3021.691
anxiety 3021.691 5210.233
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Term: grade
Sum of squares and products for the hypothesis:
depression anxiety
depression 112.76722 87.57399
anxiety 87.57399 75.02650
Multivariate Tests: grade
Df test stat approx F num Df den Df Pr(>F)
Pillai 5 0.0224153 9.833964 10 8676 < 2.22e-16 ***
Wilks 5 0.9776192 9.872584 10 8674 < 2.22e-16 ***
Hotelling-Lawley 5 0.0228579 9.911186 10 8672 < 2.22e-16 ***
Roy 5 0.0211939 18.387786 5 4338 < 2.22e-16 ***
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Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
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