MAIN FUNTIONS: 1. If you did a CENSUS, statistics provide a summary 2. If you ONLY want to DESCRIBE your sample, statistics evaluate your sample provide a summary 3. If you want to draw know about the population statistics allow you to draw these inferences! Marketing Research 7/17/2016 1 Univariate numbers 1. ◦ Mean, median, mode, standard deviation, variance e.g., average home price, number of customers Bivariate relationships 2. ◦ In what way do customers differ from noncustomers? age, sex, income, where they live Multivariate relationships 3. ◦ What is the largest predictor of purchasing? age, sex, income Marketing Research 7/17/2016 2 INFERENTIAL Statistics ◦ Would the sample results apply to the population? Covariation ◦ how strong is the relationship between variables? Null hypothesis (Ho) ◦ no difference Alternative hypothesis (Ha) ◦ there is a relationship between the variables Marketing Research 7/17/2016 3 Directionality ◦ do you have a predicted direction? (e.g., customers are more satisfied). Degrees of freedom ◦ how many observations do you have? Significance level ◦ likelihood of relationship occurring by chance Marketing Research 7/17/2016 4 EXAMINING COVARIATION: Who is more likely to buy -- men or women? Who buys the most? Is income related to likelihood of purchasing? Are people who purchase different from those who don’t? Is there some underlying pattern among these? Marketing Research 7/17/2016 5 INDEPENDENT VARIABLE (IV) ◦ Cause DEPENDENT VARIABLE (DV) ◦ Outcome IV DV Marketing Research 7/17/2016 6 Male Female Bought [Did not] 70% [30%] 40% [60%] Marketing Research 7/17/2016 7 Male Female Purchase Price $60K $50K Marketing Research 7/17/2016 8 Choosing among statistics: ◦ 1. ◦ 2. ◦ 3. ◦ 4. number of independent variables level of measurement (nominal to ratio) number of dependent variables level of measurement (nominal to ratio) ◦ 5. other considerations (normality) Marketing Research 7/17/2016 9 Marketing Research 7/17/2016 10