CIT 32000
Quantitative Analysis III
Course Instructional Objectives
Quantitative Analysis III
Course Instructional Objectives
Testing Hypotheses: One-Sample Tests
- Learn how to use samples to decide whether a population possesses a particular characteristic
- Determine how unlikely it is that an observed sample could have come from a hypothesized population
- Understand the two types of errors possible when testing hypotheses
- Learn when to use one-tailed tests
- Learn when to use two-tailed tests
- Learn the five-step process of testing hypotheses
- Understand how and when to use the normal distributions for testing hypotheses about population means and proportions
Testing Hypotheses: Two-Sample Tests
- Learn how to use samples from two populations to test hypotheses about how the populations are related
- Learn how hypothesis tests for differences between population means take different forms, depending on whether the samples are large or small
- Distinguish between independent and dependent samples when comparing two means
- Learn how to reduce a hypothesis test for the difference of means from dependent samples to a test about a single mean
- Learn how to test hypotheses that compare the proportions of two populations having some attribute of interest
- Understand how prob values can be used in testing hypotheses
- Get a feel for the kinds of outputs computer statistical packages produce for testing hypotheses
Chi-Square and Analysis of Variance
- Recognize situations requiring the comparison of more than two means or proportions
- Introduce the chi-square and F distributions and learn how to use them in statistical inferences
- Use the chi-square distribution to see whether two classifications of the same data are independent of each other
- Use a chi-square test to check whether a particular collection of data is well described by a specified distribution
- Use the chi-square distribution for confidence intervals and testing hypotheses about a single population variance
- Compare more than two population means using analysis of variance
- Use the F distribution to test hypotheses about two population variances
Simple Regression and Correlation
- Learn how many business decisions depend on knowing the specific relationship between two or more variables
- Use scatter diagrams to visualize the relationship between two variables
- Use regression analysis to estimate the relationship between two variables
- Use the least-squares estimating equation to predict future values of the dependent variable
- Learn how correlation analysis describes the degree to which two variables are linearly related to each other
- Understand the coefficient of determination as a measure of the strength of the relationship between two variables
- Learn limitations of regression and correlation analyses and caveats about their use
Time Series and Forecasting
- Learn why forecasting changes that take place over time are an important part of decision making
- Understand the four components of a time series
- Use regression-based techniques to estimate and forecast the trend in a time series
- Learn how to measure the cyclical component of a time series
- Compute seasonal indices and use them to deseasonalize a time series
- Recognize irregular variation in a time series
- Deal simultaneously with all four components of a time series
- Use time-series analysis for forecasting