Prep #3.1
Assignment Overview
Prep Assignment #3.1: Measures of Central Tendency by Level of Measurement
Open the Public Perception dataset. This dataset is based on a public perception survey conducted in X County. It contains responses from 101 individuals on issues of community concern, along with demographic information.
Guidelines
Instructions
Identify the Level of Measurement for Each Variable
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- Nominal: Categories with no intrinsic order
- Ordinal: Ranked categories, but intervals may not be equal
- Interval/Ratio: Numeric values with meaningful differences
Choose the Appropriate Measure of Central Tendency
- Keep in mind that the different levels of measurement may indicate different measures of central tendency.
- For Interval/Ratio variables, consider which measure best describes the distribution (e.g., skewed data might be better summarized with the median than the mean)
Calculate Central Tendency for the Entire Sample
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- For each variable, compute the chosen statistic
Calculate the central tendency of income and one perception item (such as importance…) for subgroups. Remember that computing means for Likert scales is scientifically acceptable, although medians are also legitimate measures of central tendency.
- Break down the results by gender (male, female, other if present).
- Break down the results by race/ethnicity (White, Black/African-American, etc.).
- Compare whether central tendencies differ across subgroups. (gender and race/ethnicity)
Interpret the Results
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- Discuss how the choice of central tendency matches the variables measurement level.
- Comment on the differences between subgroups. For example:
- Does average income differ across racial/ethnic groups?
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