26 Questions
What is the primary purpose of a two-way ANOVA?
To test the significance of an interaction effect
Which of the following is an example of a dependent variable (DV)?
Number of hours studied
What is the main goal of hypothesis testing?
To determine whether to reject or fail to reject a null hypothesis
What is the term for the statistical technique used to examine the relationship between multiple independent variables and a dependent variable?
Multiple Regression
What is the term for the measure of the strength and direction of the linear relationship between two continuous variables?
Correlation Coefficient
What is the term for a variable that is being manipulated or changed by the researcher?
Independent Variable
What is the primary purpose of an independent samples t-test?
To compare the means of two independent groups
What is the assumption required for an independent samples t-test?
Equal variance and normality
What is the term used to describe the variable being predicted or explained in a study?
Dependent variable
What type of design is used to compare the means of two independent groups?
Between-subjects design
What is the purpose of hypothesis testing in research?
To determine the significance of the difference between groups
What is the term used to describe the statistical method used to analyze the differences between multiple groups?
ANOVA
What is the assumption required for ANOVA?
Normality and equal variance
What is the term used to describe the relationship between two or more variables?
Covariance
What is the primary purpose of multiple regression analysis?
To predict the value of a dependent variable
What is the term used to describe the variable that is used to predict or explain the dependent variable?
Predictor variable
What is the purpose of a T-Test?
To determine whether the mean of a population is statistically different from a known value
What is the dependent variable in a Linear Regression analysis?
The variable being predicted or explained
What is the purpose of ANOVA?
To compare the means of two or more groups
What is the coefficient of determination in a Linear Regression analysis?
A measure of the strength of the relationship between the independent and dependent variables
Which type of hypothesis testing is used to compare the means of two or more groups?
ANOVA
What is the purpose of a hypothesis test?
To determine whether there is a statistically significant difference between groups
What is the independent variable in a Linear Regression analysis?
The variable used to make predictions
What is the covariance of two variables?
A measure of the strength of the relationship between the variables
What is the purpose of Multiple Regression?
To predict the value of a dependent variable using multiple independent variables
What is the result of a hypothesis test that indicates a statistically significant difference between groups?
The null hypothesis is rejected
Study Notes
Independent Samples T-Test
- Compares the means of two independent groups to determine whether there is a significant difference between the associated population means.
- Requires equal variances, independence, and normal distribution.
- Used to determine if there is a statistically significant difference between the population means.
- Example: comparing the means of two groups (e.g., males and females) to see if there is a significant difference between them.
Experimental Design
- Between-subjects design, where two or more independent groups are compared.
- Unpaired t-test, where two independent samples are compared.
- Used to compare the means of two independent groups.
Two-Way ANOVA (Factorial ANOVA)
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Compares the means of two or more groups based on two or more factors (nominal IV).
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Used to test the interaction between the two factors and their effects on the DV.
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Example: exploring the effect of age group (adolescence, young adulthood, middle adulthood) and gender on a particular outcome.### Hypothesis Testing
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A T-Test is used to determine whether the mean of a population is statistically different from a known or hypothesized value.
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It tests whether the variable's mean is compared against a "test value" which is a known or hypothesized value of the mean in the population.
Linear Regression
- Linear Regression is used to predict the unknown value of a variable (Y) using the known value of another variable (X).
- The linear regression equation is Y = a + bX, where a and b are unknown constants.
- The coefficient of Y (b) will change if there is an increase in X.
- Linear Regression is used to predict the unknown value of Y when the value of X is known.
Coefficient of Determination
- The coefficient of determination is a measure of how well the independent variable (X) explains the variation in the dependent variable (Y).
ANOVA
- ANOVA (Analysis of Variance) is used to determine whether there is a significant difference between the means of two or more groups.
- One-Way ANOVA is used to compare the means of one independent variable across three or more groups.
- The results of One-Way ANOVA and independent samples T-Test are equivalent when there are only two groups.
- ANOVA is denoted as F and is used to determine whether the differences found between treatment conditions are significantly greater than would be expected if there is no treatment effect.
- Within-Subjects, Repeated Measures is a type of ANOVA that is used to determine whether the differences found between treatment conditions are significantly greater than would be expected if there is no treatment effect.
One-Way ANOVA
- One-Way ANOVA is used to compare the means of one independent variable across three or more groups.
- It is used to determine whether there is a significant difference between the means of three or more groups.
- The dependent variable (DV) has one or more groups, and the independent variable (IV) has one or more levels.
Between-Groups ANOVA
- Between-Groups ANOVA is used to compare the means of two or more independent groups.
- The dependent variable (DV) has two or more groups, and the independent variable (IV) has one or more levels.
- It is used to determine whether there is a significant difference between the means of two or more independent groups.
This quiz covers independent samples, nominal data, and treatments in statistical analysis. It's also known as the Independent T-Test.
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