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Applied data analysis assignment 3

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  • June 23, 2021
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By: leeruil123 • 3 year ago

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Applied Data Analysis

Assignment 3
ANOVA (oneway and factorial) and t-test




Date: 26-03-2021

, Excersise 1: pretest – t-tests

a. Check assumptions

For education:

1. Independence of observations

We cannot check for this in SPSS, independence of observations is a design matter. Based
on SPSS data we don’t know whether person 1 is connected to person 2 for instance.

2. Normality

To check whether the populations are normally distributed we can first check visually
using histograms. We don’t see a lot of deviations from normality, so graphically we can
assume that the variable life satisfaction might be normally distributed in both
populations.




The test of normality (kolmogorov-smirvov) is non-significant for both high and low
education, which means we maintain the null hypothesis and assume our data is normally
distributed. Dlow(91) = .059, p = .811 ; Dhigh(92) = .062, p = .831


Numerically, the standardized skewness for the low education group is -.233/.253 = -0.92.
Standardized kurtosis of the residuals of low education is -.194/.500 = -0.39. Both values
are lower than 3, which means that skewness and kurtosis should not be a problem.


The standardized skewness and standardized kurtosis for high education are also lower
than 3. The standardized skewness is -.118/-.251 = -0.47. Standardized kurtosis is

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