# Questions tagged [restrictions]

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### Omission of variable in regression model

I am currently solving a question about the omission of variables in a regression model. The question says that $R^2$ decreases after two variables are omitted in the model; I understand this part. ...
1answer
99 views

### Significance of correlation with range restriction in x

Background Range restriction can happen in various study designs and it affects the results of bivariate correlation or in multiple regression, for example. In some cases the range restriction may be ...
2answers
94 views

### How to find all models that meet the pre-specified restrictions

Let's say I have a large number of predictors (e.g. 2000) and I'm facing the problem of choosing the linear regression model under following assumptions: There are few predictors that have to be ...
1answer
44 views

### Hypothesis test testing for monotonic group mean change

I wonder if there is a statistical hypothesis test testing whether group average monotonically increases across groups? For example, I have four treatment groups, A, B, C and D. I would like to test ...
0answers
26 views

### How to optimize two related objective functions?

Suppose we have two functions which are somewhat related in that if one increases, the other decreases in a non-linear fashion. The decision variables for one function may or may not be present for ...
0answers
47 views

### Restriction in bayesian likelihood expression

I'm doing MCMC simulation but I'm confused in some part of my model. I dont know which of my likelihood expression is right. My model is as following. $\gamma$ = $(\gamma_{1},\cdots,\gamma_{K})$ and ...
0answers
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### How to test hypothesis with multiple 'or' restictions

I am seeking help to interpret a question and set up test procedures for a series of hypotheses (six in total, two of which I can answer). It is part of a weekly problem set we are given in class. The ...
0answers
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1answer
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### Testing for a non-zero, monotonic trend amongst 3 groups in a repeated-measures design

For each subject, we repeatedly measure 3 conditions for a scalar dependent variable. The research hypothesis is that there is a monotonic positive trend - that is, either 1<2<3 or 1=2<3 or 1&...
0answers
45 views

### Calculating a Constrained Mean

Assume that I have ten measurements of a physical quantity that must be non-negative (e.g., mass). Because of measurement error, some of the results are nevertheless negative. Can someone suggest a ...