What do t, p, r mean in Studies?

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Discussion Overview

The discussion revolves around the interpretation of statistical notation commonly found in studies, specifically focusing on the meanings of the variables t, p, and r, as well as beta coefficients. The context includes statistical concepts relevant to psychology and other fields.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification

Main Points Raised

  • One participant expresses confusion about the meaning of t, p, r, and beta in statistical reporting, indicating a long time since they last engaged with the material.
  • Another participant suggests that the notation may be common in the field from which the quote originated and requests a link to the source material for further context.
  • One participant explains that "r" typically refers to the sample correlation coefficient, which indicates the strength and direction of a linear relationship between two variables, noting that estimation of r involves potential errors due to finite sampling.
  • Another participant describes "p" as the p-value, associated with hypothesis testing, and mentions that without a specific hypothesis, further explanation is limited.
  • A different participant clarifies that "t(n)" likely refers to the t-distribution with n degrees of freedom, and explains that "p" represents the probability of observing the results under the null hypothesis, while also noting that t-distributions are closely approximated by normal distributions for larger sample sizes.
  • One participant confirms that the notation was indeed from a psychological study and acknowledges the prevalence of similar notation in various contexts.

Areas of Agreement / Disagreement

Participants express varying levels of understanding regarding the statistical terms, with some providing explanations while others remain uncertain. There is no consensus on the complete interpretation of the symbols, and multiple interpretations are presented.

Contextual Notes

Some participants acknowledge limitations in their explanations due to the absence of specific hypotheses or additional context from the original study. The discussion reflects a range of familiarity with statistical concepts among participants.

Flying Penguin
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In studies, they always refer to certain variable values or something. Like: one-sample t (64) = 7.02, p < .0001. This overestimation occurred even though self-ratings of ability were significantly correlated with our measure of actual ability, r (63) = .39, p < .001 or This was true for the first set of self-appraisals, &Beta s(67) = - .40 to - .49, p s < .001, as well as the second, &Beta s(67) = - .41 to - .50, p s < .001

what are t, p, r etc. ? :confused:

I know I should know this but it's been a looooooong time.


Poop. Those "&Beta"s are meant to be Beta symbols.
 
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Can you provide a link to the entire source material? It is possible that this is some kind of notation common in the field from which this quote came from.

- Warren
 
This sounds like an abstract from a psychological studies. I am not sure about the symbols. But in general in statistics, "r" refers to the "sample correlation coefficient" between two variables. "r" lies in the range from -1 to 1. A positive (negative) value indicates a positive (negative) *linear* correlation between the two variables. Since in studies we can only take a finite number of samples, we can only hope to estimate r using the data that are available to us. In this process of estimation there is likely to be "errors".

As to "p", it is called the "p value" and 1-p is called the "confidence level". It is tied with something called "hypothesis testing" in statistics. I do not see any hypothesis in the piece of writing so I cannot explain it.

As to the one sample t and beta, I think they are some "test statistics" for some hypothesises. But without knowing the hypothesises I cannot say any further.
 
"t(n)" most likely refers to t-distribution of n degrees of freedom and "p" is the probability that the given "t" results could have occurred purely by chance given the "null hypothoses". Note the a "t" distribution is a common probability density function that is quite similar to the Normal distribution. The quoted example is a little unusual as "t" distributions with degrees of freedom greater than 30 are rarely used as they are extremely well approximated with the normal distribution.

"r" is a corelation coefficient, and "Beta" is yet another distribution function.
 
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Thanks guys. That was indeed from a psychological study (http://www.apa.org/journals/psp/psp7761121.html - a most interesting read!), but I've seen similar notation in numerous other places. thanks again.
 
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