Upon successful completion of the course, students will understand and be able to use broad concepts such as:
- The essentials of the scientific method and the research design
- How to structure a research paper
- Choose the right research method according to the data
- Choose the right statistical technique to be used with the research method
- Understand when to apply which statistical procedure
- Evaluate, infer, and understand a product, situation, services, or a treatment option through statistics
- Interpret statistical literature, research articles, and the claims made based on statistics
- Carry out a hypothesis test and make statistical inferences
- Develop a research proposal that can be used for future academic work
Technically and operationally, students will be able to:
· Distinguish between a population and a sample.
· Distinguish between categorical, discrete numerical, and continuous numerical data.
· Construct a frequency distribution and a bar chart, and describe the distribution of a categorical variable.
· Confidently use central tendency and dispersion indexes.
· Distinguish between an observational study and an experiment.
· Learn the basic properties of probabilities and calculate the probability of events, as well as conditional probabilities.
· Estimate probabilities empirically and using simulation.
· Explore probability distributions and their applications in data analysis.
· Distinguish between simple random sampling, stratified random sampling, and cluster sampling.
· Use properties of the sampling distribution to reason about the value of a population mean or a population proportion.
· Understand the relationships between sample size, margin of error, and the width of a confidence interval.
· The difference between a statistical relationship and a causal relationship (the difference between correlation and causation).
· Understand and perform inferential statistics such as one and two-sample z-tests, t-tests, F-tests, ANOVA.
· Carry out a test for a difference in population means using independent samples or paired samples and interpret the results.
· Understand the differences between goodness-of-fit tests, tests for homogeneity, and tests of independence.
· Carry out a hypothesis test to determine whether there is evidence that two or more population or treatment means are not all equal and interpret the results in context.
· That the simple linear regression model provides a basis for making inferences about linear relationships.
· Using a multiple regression model to establish a relationship between a dependent variable and two or more independent variables.
· Learning the concept of interaction in a multiple regression setting, estimate the parameters in a multiple regression model, and assess the usefulness of the model.