Alternative hypothesis, Advanced Statistics

Assignment Help:

The Null Hypothesis - H0: β0 = 0, H0: β1 = 0, H0: β2 = 0, Βi = 0

The Alternative Hypothesis - H1: β0 ≠ 0, H0: β1 ≠ 0, H0: β2 ≠ 0, Βi ≠ 0      i =0, 1, 2, 3

Reject H0 if |t | > t?¹ = 1.96153 or Reject H0 when P-value ≤ α = 0.05

Predictor         Coef          SE Coef            T       P          VIF

Constant       0.37794     0.01369        27.61   0.000

totexp     -0.00119745    0.00006058  -19.77  0.000  1.272

income     -0.00007625   0.00004302  -1.77    0.077  1.282

age          0.0016660      0.0003076    5.42     0.000  1.062

nk            0.029515        0.004765      6.19     0.000  1.005

 Inverse Cumulative Distribution Function

Student's t distribution with 1514 DF

P( X <= x )        x

      0.975  1.96153

Since the constant = 27.61 > 1.96153 (CV) and the P-Value is ≤ α = 0.05, H0 would be rejected as there is sufficient evidence.      

Since the totexp = -19.77 < 1.96153 (CV) and the P-Value is ≤ α = 0.05, there is evidence to suggest that H0 should be accepted according to the T value however the P-Value suggest otherwise but it is not significant.

Since the income = -1.77 < 1.96153 (CV) and the P-Value is ≤ α = 0.05, there is evidence to suggest that H0 should be accepted according to the T value however the P-Value suggest otherwise but it is not significant.

Since the age = 5.42 > 1.96153 (CV) and the P-Value is ≤ α = 0.05, H0 would be rejected as there is sufficient evidence.      

Since the nk = 6.19 > 1.96153 (CV) and the P-Value is ≤ α = 0.05, H0 would be rejected as there is sufficient evidence.


Related Discussions:- Alternative hypothesis

Linearity - reasons for screening data, Linearity - Reasons for Screening D...

Linearity - Reasons for Screening Data Many of the technics of standard statistical analysis are based on the assumption that the relationship, if any, between variables is li

Latent class analysis, Latent class analysis is a technique of assessing w...

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

Pre analysis data screening, need answers to questions in book advanced and...

need answers to questions in book advanced and multivariate statistical methods

Gabor regression, This is an approach to the modelling of time-frequency su...

This is an approach to the modelling of time-frequency surfaces which consists of a Bayesian regularization scheme in which the prior distributions over the time-frequency coeffici

Goodmanand kruskal measures of association, Goodmanand kruskal measures of ...

Goodmanand kruskal measures of association is the measures of associations which are useful in the situation where two categorical variables cannot be supposed to be derived from

Explain response surface methodology (rsm), Response surface methodology (R...

Response surface methodology (RSM): The collection of the statistical and mathematical methods useful for improving, developing, and optimizing processes with significant applicat

Explain knox''s test, Knox's tests: These tests designed to detect any ten...

Knox's tests: These tests designed to detect any tendency for the patients with a particular disease to form the disease cluster in time and space. The tests are relied on a two-b

Conditional logistic regression, Conditional logistic regression : The form...

Conditional logistic regression : The form of logistic regression designed to work with the clustered data, such as data including matched pairs of the subjects, in which subject-s

O''brien''s two-sample tests, O'Brien's two-sample tests are the extension...

O'Brien's two-sample tests are the extensions of the conventional tests for assessing the differences between treatment groups which take account of the possible heterogeneous nat

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd