Null hypothesis model, Advanced Statistics

The Null Hypothesis - H0: Model does not fit the data i.e. all slopes are equal to zero β12 =...=βk=  0

The Alternative Hypothesis - H1:  Model does fit the data i.e. at least one slope is not equal to zero β1,β2,...,βk ≠ 0

Reject H0 if P-Value  ≤ α = 0.05 or F ≥ F?¹'?² = F4'¹5¹4  = 2.37781

 

2102_Null Hypothesis Model.png

Inverse Cumulative Distribution Function

F distribution with 4 DF in numerator and 1514 DF in denominator

P( X <= x )        x

       0.95      2.37781

Since F = 134.74 > 2.61078 (CV) we have sufficient evidence to reject H0 at the 5% significant level. Hence we conclude that the goodness of fit model does fit the model.  Also since the P-Value = 0.000 < 0.05 we reject H0 as it is highly significant.

Posted Date: 3/4/2013 4:53:34 AM | Location : United States







Related Discussions:- Null hypothesis model, Assignment Help, Ask Question on Null hypothesis model, Get Answer, Expert's Help, Null hypothesis model Discussions

Write discussion on Null hypothesis model
Your posts are moderated
Related Questions
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

Coincidences : Astonishing concurrence of the events, perceived as meaningfully related, with no apparent causal connection. Such type of events abounds in everyday life and is oft

Models for the analysis of the survival times, or the time to event, data in which it is expected that a fraction of the subjects will not experience the event of interest. In a cl

Window variables are the variables measured during the constrained interval of an observation period which is accepted as the proxies for the information over the whole period. Fo

Primary Model Below is a regression analysis without 17 outliers that have been removed Regression Analysis: wfood versus totexp, income, age, nk The regression equat

Quincunx  is the device used by Galton to illustrate his lectures, which is shown in the Figure. It had a glass face and a funnel at its top. The shot was passed through funnel an

Cauchy distribution : The probability distribution, f (x), can be given as follows   where α is the position of the parameter (median) and the beta β a scale parameter. Moments

Multivariate analysis of variance is the procedure for testing equality of the mean vectors of more than two populations for the multivariate response variable. The method is dire


Classification and regression tree technique (CART): The alternative to the multiple regression and associated techniques or methods for determining subsets of the explanatory va