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What is a research question?
A clear and specific question about the social world that can be answered through the collection and analysis of empirical data.
Criteria for a good research question
Empirical, Generalizable, Clear, focused, and specific, Testable/answerable with data, Possess Theoretical significance, Practical relevance, and Originality.
Null Hypothesis (H0)
Assumes there is no relationship between the variables, and differences found in the sample are not found in the population.
Research Hypothesis (HR)
States your expectation about the relationship and is potentially supported if you reject the null hypothesis.
Independent Variable (IV)
The predictor variable.
Dependent Variable (DV)
The outcome variable.
Deductive research
A process that starts with a theorized relationship and aims to collect and analyze data to see if the research hypothesis is supported.
Sampling vs. Census
Sample: A selection of cases to estimate characteristics of the population; Census: Data collected from the entire population.
Sampling Error
Error that occurs when a sample does not accurately represent the population.
Statistic vs. Population Parameter
Statistic: A value obtained from a sample; Population Parameter: The true mean of the population being estimated.
Normal Distribution Characteristics
Sampling distribution of means is always normal, most sample means fall close to the true population mean, and they are scattered as per any normal curve.
Confidence Intervals
Indicate how confident you are that sample values are close to the true population mean, with non-overlapping intervals indicating differences.
Inferential Statistics
Using characteristics of the normal distribution to make inferences from the sample to the population.
Logic of Hypothesis Testing
Assume nothing is going on (H0 is correct); determine if there is less than a 5% chance that H0 is correct.
Chi-Square Test P-value Interpretation
If p-value < 0.05, reject H0 and conclude the relationship is significant.
Degrees of Freedom in Chi-square
df = (number of rows - 1) × (number of columns - 1).
Causation Requirements
Empirical correlation between variables, time order, and non-spuriousness.
Spurious vs. Non-Spurious Relationships
Spurious: Relationship becomes non-significant with a control variable; Non-Spurious: Relationship remains significant.
Specified Relationship
When the relationship is significant for some categories of a control variable but not for others.
Confounding Variables
Variables that influence both IV and DV creating the appearance of a relationship.
Mediating Variables
An additional independent variable that explains the relationship between IV and DV.
t-Test
Assesses the null hypothesis that there is no difference between two subgroups in the population.
Pearson’s r Correlation Coefficient
Measures the extent to which two variables move together in a predictable way.
Regression Equation for Best Fit Line
Y = a + b(X), where Y is the dependent variable, a is the Y intercept, b is the regression coefficient, and X is the independent variable.
Best Fit Line
The line with the smallest differences between values predicted and observed.
Regression Coefficient (b)
Indicates how much the dependent variable changes with each unit increase in the independent variable.