Stat test to test for dependents of continous variables.

In summary, the conversation discusses using a statistical test to determine if a variable is independent of other variables. The variables are continuous and the chi-square test is not suitable for this type of data. Instead, the F test can be used to rule out certain types of statistical dependence, with the caveat of adjusting the alpha level to account for multiple models being tested.
  • #1
Alta
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0
I have N sets of data with M variables. The variables are continous. I want to know if variable a is independent of the M-1 other variables. What stat test do I use? The chi-square test is sort of what I want but it is for non-continous, catagorized variables.
 
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  • #2
Well, you can't in general know by sampling whether 2 variables are actually independent. All you can do is rule out certain _kinds_ of statistical dependence, e.g. linear, quadratic, sigmoid, etc., which you do by an F test of significance for each of those models. (though be careful because the more models you run the more likely one of them will be accepted by sheer chance--you have to reduce alpha accordingly as you increase the number of models tried).
 

1. What is a stat test?

A stat test, short for statistical test, is a method used in statistics to determine whether there is enough evidence to reject or accept a hypothesis about a population based on sample data. It allows researchers to make conclusions about a larger population based on a smaller sample.

2. How is a stat test used to test for dependents of continuous variables?

A stat test can be used to determine whether there is a relationship or dependence between two continuous variables. It examines the strength and direction of the relationship between the variables, and whether it is statistically significant. This can help researchers understand how one variable may impact the other.

3. What types of continuous variables can be tested using a stat test?

A stat test can be used for any type of continuous variable, including numerical data such as height, weight, or temperature, as well as continuous data that is measured on a scale, such as income or level of education. It can also be used for continuous data that is naturally occurring, such as time or distance.

4. What are some common stat tests used to test for dependents of continuous variables?

There are several stat tests that can be used to test for dependents of continuous variables, depending on the specific research question and type of data. Some common tests include Pearson correlation, Spearman correlation, and linear regression. Other tests, such as ANOVA or t-tests, can also be used if there are multiple variables or groups being compared.

5. How do I interpret the results of a stat test for dependents of continuous variables?

The interpretation of a stat test result depends on the specific test being used. In general, the result will provide a p-value, which indicates the probability of obtaining the observed relationship between the variables by chance. A p-value of less than 0.05 is typically considered statistically significant, indicating a strong relationship between the variables. Other statistics, such as correlation coefficients or regression coefficients, can also provide information about the strength and direction of the relationship.

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