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Hypothesis testing assesses whether data are inconsistent with a given hypothesis rather than being an effect of random fluctuations.

11
votes
1answer
I have fitted a general linear model $$y=\beta_0+\beta_1x_1+\beta_2x_2+\beta_3x_3,$$ whose log likelihood is $L_u$. Now I wish to test if the coefficients are the same. First, overall test: the log …
asked Jun 9 '15 by Sibbs Gambling
1
vote
1answer
I have a linear mixed-effect model $$ y=\beta_0+\beta_1x_1+\beta_2x_2+\beta_3x_3+Zb+e, $$ where $[x_1\ x_2\ x_3]$ represents the fixed effects, and $Z$ represents the random effects. Now, I test the n …
asked May 8 '15 by Sibbs Gambling
6
votes
4answers
I am doing text modeling, where each document can belong to multiple topics. I specify the desired topic number to be 3 and the three topics to be weather, sports, and education. So the model will out …
asked Mar 31 '15 by Sibbs Gambling
3
votes
To test if $\beta_1=\beta_3$, we need to "reframe" the regression a bit. $$Y=\beta_0+\beta_1x_1+\beta_2x_2$$ $$Y=\beta_0+\beta_1x_1+\beta_2(1-x_1-x_3)$$ $$Y=\beta_0+\beta_2+(\beta_1-\beta_2)x_1-\beta_ …
answered Jul 25 '15 by Sibbs Gambling
1
vote
1answer
Background While dealing with data, I very often find my data to be "halfway between discrete and continuous". For example, let's say my variable of interest is age. In principle, age should be cont …
asked Jun 15 '15 by Sibbs Gambling
1
vote
1answer
I have a very simple GLM in MATLAB $$y=\beta_0+\beta_1x_1+\beta_2x_2+\epsilon,$$ which I fit with glmfit. Now I wish to test if $\beta_1=\beta_2$ with linear hypothesis test. In MATLAB, this can be d …
asked Apr 17 '16 by Sibbs Gambling
5
votes
4answers
I am doing the logistic regression with logit link in MATLAB [b, ~, stats] = glmfit(X, [Y N], 'binomial', 'link', 'logit'); I can find the $p$-values for each coefficient in stats, but this tests i …
asked May 11 '15 by Sibbs Gambling