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From Anova to Regression: analyzing the effect on consumption of no. of persons in family

From Anova to Regression: analyzing the effect on consumption of no. of persons in family. Family consumption data family.dta. E/Albert/Courses/cdas/appstat00/From anova to regression. Histogram of the consumption data. . use "I:ade-ecoAPL_STATAs2002family.dta", clear

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From Anova to Regression: analyzing the effect on consumption of no. of persons in family

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  1. From Anova to Regression: analyzing the effect on consumption of no. of persons in family Family consumption data family.dta E/Albert/Courses/cdas/appstat00/From anova to regression

  2. Histogram of the consumption data . use "I:\ade-eco\APL_STAT\As2002\family.dta", clear . graph exp1_1, bin(12) normal

  3. Log-transformation y = ln(food) generate lfood = ln(exp1_1) . graph lfood, bin(20) normal

  4. Power Transformation x --> x* x* = (xl - 1)/l x* = ln (x) when l = 0

  5. Box-Cox Transformation . boxcox exp1_1, nolog level(95) gen(newfood) Transform: (exp1_1^L-1)/L L [95% Conf. Interval] Log Likelihood ---------------------------------------------------- 0.3670 0.3382 0.4072 684.63356 Test: L == -1 chi2(1) = 47323.87 Pr>chi2 = 0.0000 L == 0 chi2(1) = 1141.84 Pr>chi2 = 0.0000 L == 1 chi2(1) = 910.66 Pr>chi2 = 0.0000 .

  6. Distrib. of transform. var.

  7. Comparison of distributions

  8. One-way ANOVA . oneway newfood nmemb_1, tabulate scheffe number | Summary of BC(exp1_1,.367) members | Mean Std. Dev. Freq. ------------+------------------------------------ 1 | -.54646644 .55918587 269 2 | .0042595 .55767657 612 3 | .30043252 .55347515 589 4 | .50565614 .58054826 675 5 | .64489038 .54040512 307 6 | .89943188 .54306837 126 7 | 1.0034046 .7149304 42 8 | 1.4943582 1.0579128 12 9 | 1.2014463 .37134539 6 10 | 1.7167094 0 1 11 | 1.6762753 0 1 ------------+------------------------------------ Total | .28631315 .68660233 2640 Analysis of Variance Source SS df MS F Prob > F ------------------------------------------------------------------------ Between groups 402.78829 10 40.278829 125.87 0.0000 Within groups 841.296369 2629 .320006226 ------------------------------------------------------------------------ Total 1244.08466 2639 .471422758 -

  9. Regression . regress newfood nmemb_1 Source | SS df MS Number of obs = 2640 ---------+------------------------------ F( 1, 2638) = 1126.51 Model | 372.28551 1 372.28551 Prob > F = 0.0000 Residual | 871.799149 2638 .330477312 R-squared = 0.2992 ---------+------------------------------ Adj R-squared = 0.2990 Total | 1244.08466 2639 .471422758 Root MSE = .57487 ------------------------------------------------------------------------------ newfood | Coef. Std. Err. t P>|t| [95% Conf. Interval] ---------+-------------------------------------------------------------------- nmemb_1 | .2536583 .0075576 33.563 0.000 .2388389 .2684777 _cons | -.5511436 .0273451 -20.155 0.000 -.6047636 -.4975236 ------------------------------------------------------------------------------ .

  10. Regression fitgraph yhat newfood nmemb_1, c(s.) s(iO)

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