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To Select a Descriptive Statistic Present entire distribution Table or graph? Frequency Distribution Table Scale of measurement? Bar Graph Histogram or.

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Presentation on theme: "To Select a Descriptive Statistic Present entire distribution Table or graph? Frequency Distribution Table Scale of measurement? Bar Graph Histogram or."— Presentation transcript:

1 To Select a Descriptive Statistic Present entire distribution Table or graph? Frequency Distribution Table Scale of measurement? Bar Graph Histogram or Polygon Summarize entire distribution Central tendency Scale of measurement? Skewed, open- ended, or undetermined scores? MeanMedian ModeVariability What measure of central tendency? Standard Deviation Semi-interquartile range or Range Nominal scale? Range or Semi- Interquartile Range None Describe individual score z-ScorePercentile Ranks Table Graph Nominal or Ordinal Interval or Ratio Location relative to the mean Standing relative to other scores No Yes Interval or Ratio Nominal Ordinal No Yes Median Mean Mode

2 To Select a Statistic to Measure the Relationship Between Two Variables Data consist of 2 scores for each individual How many dichotomous variables? Both variables measured on interval or ratio scale? Measure linear or monotonic relationship? Pearson Correlation Spearman Correlation Both variables measured on ordinal scales? If possible, rank order both variables and use Spearman. Otherwise, convert to frequency data and use chi- square test for independence. Point-Biserial Correlation Phi-Coefficient Data consist of frequency values for each category Chi-Square Test for Independence None Two Only one No Yes Monotonic Linear

3 To Select a Parametric Statistic to Evaluate Group Differences How many separate samples? How many scores for each subject? Is σ known?z-score TestSingle-Sample t-Test Related-Samples t- Test Repeated-Measures ANOVA Matched or independent samples? Related-Samples t- Test Independent- Measures t-Test Matched or independent samples? Repeated-Measures ANOVA How many independent variables? Single-Factor ANOVATwo-Factor ANOVA One Two More than two No Yes One Two More than two Independent Matched Independent Matched One Two

4 To Select a Nonparametric Statistic to Evaluate Group Differences How many separate samples? How many scores for each subject? How many categories of measurement? Chi-Square Goodness of Fit Binomial Test Can difference scores be ranked? Sign TestWilcoxon Test Matched or independent samples? Can difference scores be ranked? Can scores be ranked with few tied values? Mann-Whitney Chi-Square Test for Independence Median Test Independent samples only Are scores discrete or continuous? Median Test Chi-Square Test for Independence More than two One Two Independent Matched Two One Only two Two or more Yes No Yes No Discrete Continuous


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