``` Ice Cream Spending Analysis 53 Simple Random Sample Design 11:23 Saturday, October 21, 2000 The SURVEYREG Procedure Regression Analysis for Dependent Variable Spending Data Summary Number of Observations 40 Mean of Spending 8.75000 Sum of Spending 350.00000 Fit Statistics R-square 0.8132 Root MSE 2.4506 Denominator DF 39 Class Level Information Class Variable Levels Values Kids 4 1 2 3 4 ANOVA for Dependent Variable Spending Sum of Mean Source DF Squares Square F Value Pr > F Model 4 915.310 228.8274 38.10 <.0001 Error 35 210.190 6.0054 Corrected Total 39 1125.500 Tests of Model Effects Effect Num DF F Value Pr > F Model 4 119.15 <.0001 Intercept 1 153.32 <.0001 Income 1 324.45 <.0001 Kids 3 0.92 0.4385 NOTE: The denominator degrees of freedom for the F tests is 39. Ice Cream Spending Analysis 54 Simple Random Sample Design 11:23 Saturday, October 21, 2000 The SURVEYREG Procedure Regression Analysis for Dependent Variable Spending Estimated Regression Coefficients Standard Parameter Estimate Error t Value Pr > |t| Intercept -26.084677 2.46720403 -10.57 <.0001 Income 0.775330 0.04304415 18.01 <.0001 Kids 1 0.897655 1.12352876 0.80 0.4292 Kids 2 1.494032 1.24705263 1.20 0.2381 Kids 3 -0.513181 1.33454891 -0.38 0.7027 Kids 4 0.000000 0.00000000 . . NOTE: The denominator degrees of freedom for the t tests is 39. Matrix X'X is singular and a generalized inverse was used to solve the normal equations. Estimates are not unique. Ice Cream Spending Analysis 55 Stratified Simple Random Sample Design 11:23 Saturday, October 21, 2000 The SURVEYREG Procedure Regression Analysis for Dependent Variable Spending Data Summary Number of Observations 40 Sum of Weights 4000.0 Weighted Mean of Spending 9.14130 Weighted Sum of Spending 36565.2 Design Summary Number of Strata 3 Fit Statistics R-square 0.8219 Root MSE 2.4185 Denominator DF 37 Stratum Information Stratum Population Sampling Index Grade N Obs Total Rate 1 7 20 1824 1.10% 2 8 9 1025 0.88% 3 9 11 1151 0.96% Class Level Information Class Variable Levels Values Kids 4 1 2 3 4 ANOVA for Dependent Variable Spending Sum of Mean Source DF Squares Square F Value Pr > F Model 4 94479.8 23619.94 40.38 <.0001 Error 35 20472.5 584.93 Corrected Total 39 114952.3 Ice Cream Spending Analysis 56 Stratified Simple Random Sample Design 11:23 Saturday, October 21, 2000 The SURVEYREG Procedure Regression Analysis for Dependent Variable Spending Tests of Model Effects Effect Num DF F Value Pr > F Model 4 124.85 <.0001 Intercept 1 150.95 <.0001 Income 1 326.89 <.0001 Kids 3 0.99 0.4081 NOTE: The denominator degrees of freedom for the F tests is 37. Estimated Regression Coefficients Standard Parameter Estimate Error t Value Pr > |t| Intercept -26.086882 2.44108058 -10.69 <.0001 Income 0.776699 0.04295904 18.08 <.0001 Kids 1 0.888631 1.07000634 0.83 0.4116 Kids 2 1.545726 1.20815863 1.28 0.2087 Kids 3 -0.526817 1.32748011 -0.40 0.6938 Kids 4 0.000000 0.00000000 . . NOTE: The denominator degrees of freedom for the t tests is 37. Matrix X'WX is singular and a generalized inverse was used to solve the normal equations. Estimates are not unique. Ice Cream Spending Analysis 57 Stratified Simple Random Sample Design 11:23 Saturday, October 21, 2000 The SURVEYREG Procedure Regression Analysis for Dependent Variable Spending Data Summary Number of Observations 40 Sum of Weights 4000.0 Weighted Mean of Spending 9.14130 Weighted Sum of Spending 36565.2 Design Summary Number of Strata 3 Fit Statistics R-square 0.8219 Root MSE 2.4185 Denominator DF 37 Stratum Information Stratum Population Sampling Index Grade N Obs Total Rate 1 7 20 1824 1.10% 2 8 9 1025 0.88% 3 9 11 1151 0.96% Class Level Information Class Variable Levels Values Kids 4 1 2 3 4 ANOVA for Dependent Variable Spending Sum of Mean Source DF Squares Square F Value Pr > F Model 4 94479.8 23619.94 40.38 <.0001 Error 35 20472.5 584.93 Corrected Total 39 114952.3 Ice Cream Spending Analysis 58 Stratified Simple Random Sample Design 11:23 Saturday, October 21, 2000 The SURVEYREG Procedure Regression Analysis for Dependent Variable Spending Tests of Model Effects Effect Num DF F Value Pr > F Model 4 124.85 <.0001 Intercept 1 150.95 <.0001 Income 1 326.89 <.0001 Kids 3 0.99 0.4081 NOTE: The denominator degrees of freedom for the F tests is 37. Estimated Regression Coefficients Standard Parameter Estimate Error t Value Pr > |t| Intercept -26.086882 2.44108058 -10.69 <.0001 Income 0.776699 0.04295904 18.08 <.0001 Kids 1 0.888631 1.07000634 0.83 0.4116 Kids 2 1.545726 1.20815863 1.28 0.2087 Kids 3 -0.526817 1.32748011 -0.40 0.6938 Kids 4 0.000000 0.00000000 . . NOTE: The denominator degrees of freedom for the t tests is 37. Matrix X'WX is singular and a generalized inverse was used to solve the normal equations. Estimates are not unique. Ice Cream Spending Analysis 59 Stratified Simple Random Sample Design 11:23 Saturday, October 21, 2000 Obs Parameter Estimate StdErr DenDF tValue Probt 1 Intercept -26.086882 2.44108058 37 -10.69 <.0001 2 Income 0.776699 0.04295904 37 18.08 <.0001 3 Kids 1 0.888631 1.07000634 37 0.83 0.4116 4 Kids 2 1.545726 1.20815863 37 1.28 0.2087 5 Kids 3 -0.526817 1.32748011 37 -0.40 0.6938 6 Kids 4 0.000000 0.00000000 37 . . Analysis of Ice Cream Spending 60 11:23 Saturday, October 21, 2000 The SURVEYMEANS Procedure Data Summary Number of Strata 3 Number of Observations 40 Sum of Weights 4000 Class Level Information Class Variable Levels Values Group 2 less more Stratum Information Stratum Population Sampling Index Grade Total Rate N Obs Variable N ÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉ 1 7 1824 1.10% 20 Spending 17 Group=less 14 Group=more 3 2 8 1025 0.88% 9 Spending 7 Group=less 0 Group=more 7 3 9 1151 0.96% 11 Spending 9 Group=less 4 Group=more 5 ÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉ Statistics Std Error Variable Mean of Mean Sum Std Dev ÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉ Spending 9.770542 0.541381 32139 1780.792065 Group=less 0.515404 0.067092 1695.345455 220.690305 Group=more 0.484596 0.067092 1594.004040 220.690305 ÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉ Domain Analysis: Indicator Std Error Indicator Variable Mean of Mean Sum Std Dev ÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉ Nonrespondent Spending . . . . ÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉ Analysis of Ice Cream Spending 61 11:23 Saturday, October 21, 2000 The SURVEYMEANS Procedure Domain Analysis: Indicator Std Error Indicator Variable Mean of Mean Sum Std Dev ÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉ Nonrespondent Group=less . . . . Group=more . . . . Respondent Spending 9.770542 0.652347 32139 3515.126876 Group=less 0.515404 0.067257 1695.345455 221.232029 Group=more 0.484596 0.067257 1594.004040 221.232029 ÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉ ```