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Questions and Answers
What do Bivariate Correlations measure?
What do Bivariate Correlations measure?
- The average of two groups
- The strength and statistical significance of the relationship between two variables (correct)
- The strength of the relationship between two nominal variables
- The causation between two variables
What is the Pearson Correlation used for?
What is the Pearson Correlation used for?
- To measure the relationship between two nominal variables
- To assess the mean differences between two groups
- To measure the strength of the linear relationship between two interval or ratio scale variables (correct)
- To evaluate the trend of data over time
When can you use Spearman Rank-Order Correlation?
When can you use Spearman Rank-Order Correlation?
- When both variables are nominal
- When assessing causation
- When the relationship between two variables is nonlinear and monotonic (correct)
- When both variables are measured at the interval level
Define Monotonic.
Define Monotonic.
What is the purpose of a Scatterplot?
What is the purpose of a Scatterplot?
The first step in a correlational analysis involving interval or ratio scale variables is to form a _________________.
The first step in a correlational analysis involving interval or ratio scale variables is to form a _________________.
What is the Chi-Square Test of Association used for?
What is the Chi-Square Test of Association used for?
Shapiro-Wilk Test is recommended if you are not particularly familiar with statistics and/or if you have a _________________.
Shapiro-Wilk Test is recommended if you are not particularly familiar with statistics and/or if you have a _________________.
The Coefficient of Determination is the proportion of variance in one variable that is __________ by the other variable.
The Coefficient of Determination is the proportion of variance in one variable that is __________ by the other variable.
The Chi-Square Test of Association is used to assess the statistical significance of the relationship between two _________________.
The Chi-Square Test of Association is used to assess the statistical significance of the relationship between two _________________.
The chi-square test for association tests whether two categorical variables are ________________.
The chi-square test for association tests whether two categorical variables are ________________.
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Study Notes
Bivariate Correlations
- Measure strength and statistical significance of relationships between two variables.
Pearson Correlation
- Assesses strength of linear relationship between two variables measured at the interval or ratio scale.
Spearman Rank-Order Correlation
- Applicable for nonlinear and monotonic relationships or when variables are measured at the ordinal level.
Monotonic Relationships
- Continuous increase or decrease in scores of one variable as the other variable changes, regardless of linearity.
Chi-Square Test of Association
- Evaluates relationships between two nominal scale variables using Cramer's V statistic for strength measurement.
Scatterplot
- Initial step for correlational analysis with interval or ratio scale variables, helps visualize data.
Uses of Scatterplots
- Identify outliers.
- Assess linearity of relationships.
- Note issues with heteroscedasticity (unequal spread of data).
Assumptions of Pearson Correlation
- Variables should be measured at interval or ratio level (continuous).
- Assumes linear relationship exists between variables, typically verified through scatterplots.
- Significant outliers should be absent, as they can distort correlation results.
- Variables should display approximate normal distribution; normality can be assessed using the Shapiro-Wilk test.
Shapiro-Wilk Test
- Recommended for testing normality, especially with small sample sizes, to ensure validity of correlations.
Coefficient of Determination
- Represents the proportion of variance in one variable explained by the other variable, calculated as the square of the Pearson correlation coefficient (r²).
Chi-Square Test of Association
- Utilized to determine statistical significance of relationships between two nominal scale variables, with Cramer's V indicating strength.
Chi-Square Test for Independence
- Examines whether two categorical variables are associated or independent, commonly applied in nominal or dichotomous variables.
X2 Test Explanation
- Further elaboration needed for detailed understanding, currently incomplete.
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