The GSS measures political ideology with scores such as 1=extremely liberal and 4=moderate and 7=extremely conservative. In a recent GSS, when responses were classified by political party affiliation, results were obtained as: Democrat, 954 people, mean=3.53, standard deviation 1.32 Independent, 279 people, mean=4.03, sd =1.23 Republican, 657 people, mean=5, sd=1.17 Identify the response variable and the factor. The ANOVA F statistic equals 269.456 with a p-value of 0.000. Explain how to interpret the results.
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
The GSS measures political ideology with scores such as 1=extremely liberal and 4=moderate and 7=extremely conservative. In a recent GSS, when responses were classified by political party affiliation, results were obtained as:
Democrat, 954 people,
Independent, 279 people, mean=4.03, sd =1.23
Republican, 657 people, mean=5, sd=1.17
Identify the response variable and the factor.
The ANOVA F statistic equals 269.456 with a p-value of 0.000. Explain how to interpret the results.
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