Essentials of Marketing Research Chapter 14: Basic Data Analysis TABULATION • FREQUENCY TABLE • PERCENTAGES • RATIOS Type of Scale Measure of Central Tendency Measure of Dispersion Nominal Ordinal Interval or ratio Mode Median Mean None Percentile/range Standard deviation CROSS-TABULATION • ANALYZE DATA BY GROUPS OR CATEGORIES • COMPARE DIFFERENCES • CONTINGENCY TABLE • PERCENTAGE CROSS-TABULATIONS • How many? ELABORATION AND REFINEMENT • MODERATOR VARIABLE • SPURIOUS RELATIONSHIP DATA TRANSFORMATION • DATA CONVERSION • CHANGING THE ORIGINAL FORM OF THE DATA INTO A NEW FORMAT • MORE APPROPRIATE DATA ANALYSIS • NEW VARIABLES CALCULATING RANK ORDER • ORDINAL DATA • BRAND PREFERENCES TABLES • BANNERHEADS FOR COLUMNS • STUDHEADS FOR ROWS CHARTS AND GRAPHS • PIE CHARTS • LINE GRAPHS • BAR CHARTS – VERTICAL – HORIZONTAL 100 80 60 East 40 W est 20 N orth 0 1st 2nd 3rd 4 th Q tr Q tr Q tr Q tr COMPUTER PROGRAMS • • • • SPSS SAS SYSTAT MICROSOFT EXCEL – (Not really a complete statistical software package) HYPOTHESIS AN UNPROVEN PROPOSITION OR SUPPOSITION THAT TENTATIVELY EXPLAINS CERTAIN FACTS OF PHENOMENA • NULL HYPOTHESIS • ALTERNATIVE HYPOTHESIS SIGNIFICANCE LEVEL • CRITICAL PROBABILITY IN CHOOSING BETWEEN THE NULL HYPOTHESIS AND THE ALTERNATIVE HYPOTHESIS • PROBABILITY LEVEL SELECTED IS TYPICALLY .05 OR .01 • TOO LOW TO WARRANT SUPPORT FOR THE NULL HYPOTHESIS TESTING A HYPOTHESIS ABOUT A MEAN The alternative hypothesis is that the mean does not equal 3.0: H: µ3.0 HYPOTHESIS µ=3.0 m=3.0 _ C Type I and Type II Errors in Hypothesis Testing State of Null Hypothesis in the Population Decision Accept H0 Reject H0 H0 is true H0 is false Correct--no error Type II error Type I error Correct--no error TESTING A HYPOTHESIS ABOUT A DISTRIBUTION • CHI-SQUARE TEST • TEST FOR SIGNIFICANCE IN THE ANALYSIS OF FREQUENCY DISTRIBUTIONS • COMPARE OBSERVED FREQUENCIES WITH EXPECTED FREQUENCIES • “GOODNESS OF FIT” Type of Measurement Type of descriptive analysis Two categories Nominal More than two categories Frequency table Proportion (percentage) Frequency table Category proportions (percentages) Mode Type of Measurement Type of descriptive analysis Ordinal Rank order Median Type of Measurement Type of descriptive analysis Interval Arithmetic mean