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This chapter provides a comprehensive overview of basic statistics for analyzing and interpreting individual variables independently. It covers categorical measures, frequency analysis, outliers, sampling error, confidence intervals, proportions, continuous measures, descriptive statistics, converting to categorical measures, judgment, hypothesis testing, and more.
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Analysis & Interpretation: Individual Variables Independently Chapter 12
Basic Statistics: Categorical Measures • Categorical Measures • Frequency Analysis • Valid percent • Cumulative percent
Frequency Analysis • Outliers • Histogram
“A projection of the range within which a population parameter will lie at a given level of confidence, based on sample statistic.” Sampling error: Confidence Intervals: Proportions
Basic Statistics: Continuous Measures • Continuous Measures • Descriptive Statistics • Sample mean • Sample standard deviation Source: echrblog.blogspot.com
Basic Statistics: Continuous Measures • Converting to Categorical Measures • Judgment • Client’s predetermined structure • Media split • Cumulative percentage breakdown • Two-box technique
Confidence Intervals: Means • Same idea • Equation:
Null hypothesis Alternative hypothesis Significance level Significance level “The acceptable level of error; refers to the probability of rejecting the null hypothesis when it is actually true” P-value “The probability of obtaining a given result if in fact the null hypothesis were true.” Hypothesis Testing
Hypothesis Testing • What does this mean? • If p > α • If p < α
Hypothesis Testing • Categorical Variables • Chi-square tests • Continuous Variables • T-Tests