PSYC 2317: Statistical Methods in Psychology

Course Student Learning Outcomes (CSLOs)

1. Compute and interpret empirical and theoretical probabilities.
2. Define and explain the characteristics of data based on their reliability, validity, and scales of measurement.
3. Interpret visual representations of data, such as graphs and tables.
4. Compute and interpret descriptive statistics, such as mean, median, and mode; standard deviation and range; and transformed scores.
5. Compute and interpret inferential statistics and tests, such as z test, t test, ANOVA, and Chi-Square.
6. Calculate, evaluate, and interpret simple linear correlation/regression.
7. Construct and interpret confidence intervals.
8. Examine, analyze, and compare various sampling distributions.
9. Formulate, perform, and interpret hypotheses tests.
10. Identify the appropriate statistical analyses for given research problems, questions, hypotheses, and data sets.
11. Apply statistical knowledge to the interpretation of psychological research.
12. Explain features and purpose of statistical software packages.

Learning Objectives for CSLO 1: Compute and interpret empirical and theoretical probabilities.

1.1 Define probability

1.2 Calculate the probability of a specific outcome as a proportion, decimal, and percentage

1.3 Calculate probabilities of specific values in data sets arranged in frequency distributions tables and graphs

1.4 Determine probabilities associated with specific z-scores in the unit normal table

1.5 Determine probabilities associated with specific scores in a normal distribution

Key terms: probability, random sample, independent random sample, unit normal table

Learning Objectives for CSLO 2: Define and explain the characteristics of data based on their reliability, validity, and scales of measurement.

2.1 Explain the use of correlations in the determination of the reliability of a measurement procedure

2.2 Explain the use of correlations in the determination of the validity of a measurement procedure

2.3 Compare the characteristics of nominal, ordinal, interval, and ratio scales of measurement

2.4 Compare discrete and continuous variables

Key terms: construct, operational definition, discrete variable, continuous variable, nominal scale, ordinal scale, interval scale, ratio scale, reliability, validity

Learning Objectives for CSLO 3: Interpret visual representations of data, such as graphs and tables.

3.1 Determine the appropriate type of graph for a set of data based on scale type (nominal, ordinal, interval, ratio)

3.2 Explain the advantages and disadvantages of grouped frequency distributions

3.3 Construct frequency distribution tables and graphs

3.4 Make inferences about variables based on data based on frequency distribution tables and graphs

3.5 Categorize distributions as symmetrical, positively skewed, and negatively skewed

Key terms: symmetrical distribution, positive skew, negative skew, normal distribution, real limits

Learning Objectives for CSLO 4: Compute and interpret descriptive statistics, such as mean, median, and mode; standard deviation and range; and transformed scores.

4.1 Compute mean, median, mode, standard deviation, range, and z-scores using data sets

4.2 Compute mean, median, mode, standard deviation, range, and z-scores using data arranged in frequency distribution tables and graphs

4.3 Interpret mean, median, mode, standard deviation, range, and z-scores

4.4 Explain the relationships among measures of central tendency and distribution shapes

4.5 Describe the characteristics of the mean and how it is affected by changes in the data from which it is calculated

4.6 Describe the uses, advantages, and disadvantages of mean, median, and mode

4.7 Describe the uses, advantages, and disadvantages of range and standard deviation

4.8 Explain the difference between measures of variability in populations and samples

4.9 Describe the relationship between score transformations and measures of variability

4.10 Explain the role of measures of central tendency and variability in the reporting of research results in scientific journals

4.11 Compute standard score transformations using z-scores

4.12 Determine scores from z-scores and vice-versa

4.13 Describe the characteristics of z-score distributions

4.14 Explain the uses of z-scores and their advantages over raw scores

Key terms: descriptive statistics, central tendency, mean, median, mode, multimodal, bimodal, variability, range, variance, standard deviation, degrees of freedom, z-score

Learning Objectives for CSLO 5: Compute and interpret inferential statistics and tests, such as z test, t test, ANOVA, and Chi-Square.

5.1 Compute t tests, z tests, ANOVA, and chi-square

5.2 Interpret the results of z tests, t tests, ANOVA, and chi-square

5.3 Describe the uses and limitations of z tests, t tests, ANOVA, and chi-square

5.4 Describe the various uses of the chi-square goodness-of-fit test

5.5 Explain the difference between parametric and nonparametric statistical tests

5.6 Calculate expected frequencies based on a chi-square test

Key terms: inferential statistics, degrees of freedom, multivariate analysis of variance, independent samples, dependent samples, repeated measures tests, ANOVA, z test, t test, chi-square test

Learning Objectives for CSLO 6: Calculate, evaluate, and interpret simple linear correlation/regression.

6.1 Create scatterplots

6.2 Interpret scatterplots

6.3 Explain the meaning of a correlation’s strength and direction

6.4 Compute Pearson correlations

6.5 Explain the uses of Pearson, Spearman, and point biserial correlations

6.6 Interpret correlations using the concepts of causation, range restriction, and outliers

6.7 Explain the uses of the coefficient of determination

6.8 Describe the process of hypothesis testing as it applies to correlations

6.9 Explain the role of regression equations in prediction

6.10 Use the least-squares solution to determine how well a line fits a given set of data points

6.11 Describe the use of regression as an inferential statistic

Key terms: correlation, coefficient of determination, effect size, linear relationship, regression, regression line, least squares solution

Learning Objectives for CSLO 7: Construct and interpret confidence intervals.

7.1 Explain the use of a confidence interval to describe the size of a treatment effect

7.2 Describe the factors that influence the width of a confidence interval

7.3 Construct confidence intervals

7.4 Interpret confidence intervals

Key terms: confidence interval

Learning Objectives for CSLO 8: Examine, analyze, and compare various sampling distributions.

8.1 Explain the relationship between sample size and the distribution of sample means

8.2 Describe the characteristics of the distribution of sample means

8.3 Determine the probability of a sample mean using z-scores

8.4 Compute the standard error of the mean

Key terms: sample, population, distribution of sample means, sampling distribution, central limit theorem, standard error of the mean

Learning Objectives for CSLO 9: Formulate, perform, and interpret hypotheses tests.

9.1 Describe the steps involved in using inferential statistics to test a hypothesis

9.2 Use inferential statistics to perform hypothesis tests

9.3 Explain the implications of rejecting and failing to reject a null hypothesis

9.4 Describe the relationship between sample size and the power of a statistical test

Key terms: hypothesis testing, null hypothesis, alternative hypothesis, power of a statistical test, Type I error, Type II error, on-tailed test, two-tailed test, alpha level, level of significance, critical region, statistical significance, test statistic

Learning Objectives for CSLO 10: Identify the appropriate statistical analyses for given research problems, questions, hypotheses, and data sets.

10.1 Choose the appropriate inferential test or tests for a given research problem, question, hypothesis, or data set

10.2 Explain why a given inferential test is appropriate or inappropriate for a given research problem, question, hypothesis, or data set

Key terms: None

Learning Objectives for CSLO 11: Apply statistical knowledge to the interpretation of psychological research.

11.1 Explain a research study’s methods, statistical analyses, results, and conclusions

11.2 Explain the relationships among a research study’s methods, statistical analyses, results, and conclusions

Key terms: None

Learning Objectives for CSLO 12: Explain features and purpose of statistical software packages.

12.1 Describe the Statistical Package for the Social Sciences (SPSS)

12.2 Explain the advantages of using statistical software

Key terms: None