MGS 8150 Causal Model – extra Dr. Subhashish (Sub) Samaddar Georgia State University J. Mack Robinson College of Business Executive Education Atlanta, GA 30303 Slide 1 Causal Model: Some Useful Tips Choose and reason your Dependent Variable Y and Independent variable (X) carefully. Be able to reason: A change in X should cause a change in Y AND a change in Y should not cause a change in X. Your data for Y should have variance – no variance is bad. Your data for each X variable should have variance – no variance is bad. Recognize variable types that you are dealing with and take appropriate action: • Four • Nominal • Ordinal • Interval/ Ratio Slide 2 Causal Model: Role of Variable Types Not all variables created equal! Based on amount of information contained in the data (or variable) Why do we care – to be able to use them appropriately in causal modeling How many different types of variables? • Four •Nominal •Ordinal •Interval/ Ratio Slide 3 Scales of Measurement Nominal – data contains only name or label to describe an attribute; can be numeric or non-numeric. Example: University students data can use a nonnumeric label such as Business, Humanities, Education, and so on. Gender – male/ female. How to model this type of data: Use dummy variable; easy for two values such as Gender – Use dummy variable X1 where X1 = 0 means female, X1 = 1 means male. If you have more than two values talk to Sub. Slide 4 Scales of Measurement Ordinal – nominal data properties plus there is a meaningful order or rank of the data; can be numeric or non-numeric Examples: 1. University students data can use a nonnumeric label such as Freshman, Sophomore, Junior, or Senior. 2. Military ranks … How to model this type of data: These can use numeric code … such as 1, 2, 3, 4 etc. where 2 represents something more than 1 and so on. Slide 5 Scales of Measurement Interval – ordinal data properties plus a fixed unit of measure expressing the interval between the observations; always numeric. Ratio – interval data properties plus ratio of two values are meaningful. Examples: 1. (Interval data) John’s exam score is 87, Jane’s score is 94. Jane scored 7 points more than John. 2. (Ratio data) Distance, Height, Weight, Time, Money … How to use them in causal model: The regression model that you can run in Excel has to have an Interval or ratio data (variable) as the dependent variable. X variables can be any type. Slide 6 How much data do you need? Some rule of thumbs: 1. Keeping it simple, it depends on how many X variables you have in your model. 2. Will discuss some rule-of-thumb in class: Use the largest of: a. 50+8*k (for R-squared test only) b. 104+k (for coefficients tests only) Where k represents number of X variables in your regression model. Slide 7 Slide 8