# Tag Info

### Model has higher (and closer to 1) $\beta$, but similar $R^2$ and correlation

The evaluation criteria $R2$ is equivalent to square error $SE=\sum(y-\hat{y})^2$, so I will replace $R2$ with simpler $SE$ for the remaining part. The $\beta_1=0.8$ is problematic as it shows that ...

### Correlation alternatives / How to go about testing this relationship?

You can use linear regression, and your model should be: the independent variable --> temperature at the tailwater gauge the dependent variables ---> the temperatures at the downstream sites. ...

### Data analysis steps to take after correlation

I think the hardest part here is interpreting the results, and justifying the hypothesis (what is included and what is omitted.) There are no hard-wired recipes for that, so what follows is more a ...
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1 vote
Accepted

### Pearson chi square and correlation

"chi squared test value is 4.664 And asymp sig is 0.97 so the data are independent". I don't agree with this statement. You do not know that the data are independent. You have failed to find ...
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### Why is correlation obtained from nlme different from Pearson correlation?

The correlation values provided by the lme function for your mixed model represent the correlations between the estimated coefficients (slopes) of the model. These ...
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Accepted

### Analyses for a vocabulary profiler data

What you are describing is an ordinal value: Nominal: Values are categorical and there is no logical monotonic ordering (e.g., patients' eye color) Ordinal: Values are categorical, but there is a ...
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### How to generate 2 correlated Beta random variables

How can you simulate correlated beta distributed variables? This question has attracted a lot of views, suggesting (future) readers might still be interested in the titular question. I would like to ...
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### Can p-values for Pearson's correlation test be computed just from correlation coefficient and sample size?

Yes, the p-value can be computed from the sample correlation and sample size There are various versions of the Pearson correlation test that use different test statistics based on different ...
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### Correlation alternatives / How to go about testing this relationship?

If I get it right what you do is measuring water temperature at different spots of a river, beginging right behind a dam and repeating the measurement at multiple spots further downstream. This means ...
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### meta question: Understanding correlation vs. effect size

Correlation coefficients are types of effect sizes, so correlation isn't really distinct from effect size. Look also for the significance of the coefficient (with a p-value or some other statistic). ...
1 vote
Accepted

### Regression with dependent observations of only one individual

My Y variable will likely be binary (agrees/disagrees) or on a Likert scale (1-5) I'd recommend the Likert scale since it's more informative. For analysis you can use an ordinal logistic model. https:...
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### Association between more than 2 categorical variables

Feels like you are doing this the wrong way round. I would try to suggest/model how the data was generated, this would give a testable hypothesis, this would then suggest a metric for correlation. For ...
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Accepted

### Association between more than 2 categorical variables

You can do chi square with more the two variables. Or, indeed, with only one variable. There may be problems with sparse cells, but that would affect other methods too. You could also look into log ...
• 125k
Accepted

### Does it make sense to describe change in Pearson's correlation coefficient in percentage terms?

It's not helpful or even always valid to talk about percentage change in correlations. Let's note that in principle a correlation could be exactly zero, in which case percentage change from zero isn't ...
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### Correlation for Small Dataset?

I would give the results in terms of two-tailed p-value (that is, if a sample has a correlation of $r_s$, give $P(|r|\ge r_s)$ under the null hypothesis that the true correlation is 0). This gives the ...
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### Correlations between continuous and categorical (nominal) variables

I found this article helpful in understanding why and where which correlation will be used How to Calculate the Correlation Between Categorical and Continuous Values
1 vote

### I would like some insight into what I have been working on here

Summarizing comments into an answer: When a potential customer opens the door and allows the salesperson into the house, then the salesperson must take the time to make the sales pitch. If the pitch ...
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### Correlation for Small Dataset?

In line with the answer @Glen_b in the worst case (true correlation is zero) you need 300-400 observations to well-estimate $r$, e.g., to within a margin of error of 0.1 with 0.95 compatibility. For ...
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### Correlation for Small Dataset?

I'm somewhat more positive than the other two answers, but it all depends on (a) how your data actually look like and (b) what you will then do with the correlations, and whether there are good ...
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### Correlation for Small Dataset?

I agree with all of Glen_b's points. What could you try? First, is there any substantively sensible way to combine some of the sets of 10? That is, not a method based on statistics, but on what you ...
• 125k
Estimators based on sample statistics are not very reliable indicators of the population quantities they estimate when sample sizes are very small. In short, the sample correlation $r$ could be very ...