A trend formula for the variance

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SUMMARY

The discussion centers on the derivation of the variance formula Var(Tn) for a random variable T, as referenced in the paper published in the JOURNAL OF MATHEMATICAL PSYCHOLOGY 39, 265-274 (1995). Specifically, participants reference equations 28 and 29 for expectation E(Tn) and express the complexity of obtaining Var(Tn) as indicated in the text below equation 21. The consensus is that while equation 24 may suffice for some, there is a clear need for a deeper understanding of Var(Tn) for those requiring precise statistical analysis.

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  • Understanding of random variables and their properties
  • Familiarity with variance and expectation concepts in statistics
  • Knowledge of mathematical notation and equations
  • Experience with academic literature in mathematical psychology
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  • Review the derivation of variance in the context of random variables
  • Study the implications of equations 28 and 29 in the referenced paper
  • Analyze the content below equation 21 for insights on variance calculation
  • Explore advanced statistical methods for deriving complex variance formulas
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TL;DR
In a paper published in the JOURNAL OF MATHEMATICAL PSYCHOLOGY 39, 265-274 (1995), formulas are provided on page 272 for the expectation of a random variable as dependent on n (formulas 28 and 29). What do these formulas look like for the variance?
In a paper published in the JOURNAL OF MATHEMATICAL PSYCHOLOGY 39, 265-274 (1995), formulas are provided on page 272 for the expectation E(Tn) of a random variable T as dependent on n (formulas 28 and 29). Now I would like to know what these formulas look like for the variance i.e. Var(Tn).
 

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Ah, this one again! Have you read the paragraph below eqn 21? Are you prepared to put in the "little more effort"? (Might be more than a little, in my opinion!) The result is "rather complicated". Do you really need it? Is eqn 24 not good enough?
 
mjc123 said:
Ah, this one again! Have you read the paragraph below eqn 21? Are you prepared to put in the "little more effort"? (Might be more than a little, in my opinion!) The result is "rather complicated". Do you really need it? Is eqn 24 not good enough?
Yes, I really need Var(Tn).
 

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