The f-wald test, Advanced Statistics

Primary Model

Below is a regression analysis without 17 outliers that have been removed

Regression Analysis: wfood versus totexp, income, age, nk

The regression equation is

wfood = 0.378 - 0.00129 totexp - 0.000054 income + 0.00170 age + 0.0317 nk

Predictor              Coef       SE Coef           T          P         VIF

Constant         0.37816     0.01356         27.89  0.000

totexp         -0.00128554  0.00006284  -20.46  0.000    1.324

income        -0.00005410  0.00004950   -1.09   0.275    1.341

age              0.0016993    0.0003058      5.56   0.000    1.065

nk                0.031717      0.004676        6.78   0.000    1.007

S = 0.0880161   R-Sq = 28.0%   R-Sq(adj) = 27.8%

Analysis of Variance

Source               DF       SS          MS         F           P

Regression         4      4.5159    1.1290  145.73  0.000

Residual Error   1497  11.5970   0.0077

  Lack of Fit       1328   10.1731  0.0077    0.91  0.806

  Pure Error        169    1.4239    0.0084

Total                  1501  16.1129

 

Secondary Model

Below is a regression analysis without 17 outliers that have been removed and dropping the income variable   

Regression Analysis: wfood versus totexp, age, nk

The regression equation is

wfood = 0.376 - 0.00132 totexp + 0.00165 age + 0.0317 nk

Predictor         Coef     SE Coef       T      P    VIF

Constant       0.37593     0.01341   28.04  0.000

totexp     -0.00131710  0.00005581  -23.60  0.000  1.045

age          0.0016462   0.0003019    5.45  0.000  1.038

nk            0.031672    0.004676    6.77  0.000  1.007

S = 0.0880218   R-Sq = 28.0%   R-Sq(adj) = 27.8%

Analysis of Variance

Source               DF       SS          MS          F           P

Regression         3       4.5067   1.5022   193.89  0.000

Residual Error   1498  11.6063  0.0077

  Lack of Fit       644    4.9570    0.0077    0.99     0.560

  Pure Error      854     6.6493    0.0078

Total               1501    16.1129

The Null Hypothesis - H0: No difference between the primary and secondary model

1465_The F-Wald Test.png

Since the F value is 1.2005 < 3.8477 there is sufficient evidence to suggest that we accept H0 implying that there is no difference between the primary and secondary model and income can be removed.

Posted Date: 3/4/2013 7:10:51 AM | Location : United States







Related Discussions:- The f-wald test, Assignment Help, Ask Question on The f-wald test, Get Answer, Expert's Help, The f-wald test Discussions

Write discussion on The f-wald test
Your posts are moderated
Related Questions

Generalized principal components analysis: The non-linear version of the principal components analysis in which the goal is to determine the non-linear coordinate system which is

Computer-intensive methods : The statistical methods which require almost identical computations on the data repeated number of times. The term computer intensive is, certainly, a

The method of displaying the geographical variability of the disease on maps using different colors, shading, etc. The logic is not new, but the arrival of computers and computer g

Difference between tretment design and experimental design

MAZ experiments : The Mixture-amount experiments which include control tests for which the entire amount of the mixture is set to zero. Examples comprise drugs (some patients do no

The Null Hypothesis - H0: β 1 = 0 i.e. there is homoscedasticity errors and no heteroscedasticity exists The Alternative Hypothesis - H1: β 1 ≠ 0 i.e. there is no homoscedasti

One of the most exciting areas of mathematics involves the application of statistics to real-world settings to make informed decisions. In this task you will design, implement, and

Latent class analysis is a technique of assessing whether the set of observations including q categorical variables, in specific, binary variables, consists of the number of diffe

the problem that demonstrates inference from two dependent samples uses hypothetical data from TB vaccinations and the number of new cases before and after vaccinations for cases o