![]() ![]() I don't follow what you're even asking here. Numerical libraries for many languages will have these functions or closely related functions like the error function and its inverse. In the case of normal distributions both the cdf and its inverse are not available in closed form, but they can be evaluated numerically to good accuracy stats programs and spreadsheets have these. You get critical values from the null distribution of a test statistic by evaluating its quantile function (inverse cdf). In the limit as the degrees of freedom, ν, go to infinity, t-distribution goes to a standard normal (Gaussian) distribution. So combined the range for the level of confidence for k = 3 would be 89.9 (CT) - 99.8 (t-test) or is this mathematical bullshit?Īny help is highly appreciated as I am struggling pretty badly with this. k = 3) using the chebyshevs theorem (CT) which would give me a lower boundary for the level of confidence with k = 3 of 89.9% and use the t-test to establish an upper boundary of ~99.8% for k = 3? Can I still establish the range for the level of confidence for a set coverage factor (e.g. How do I calculate the exact level of confidence for infinite degrees of freedom of a one tailed distribution for k = 2 and 3 which should be around 98 and 99.8%? (assumed as 97.5% is k = 1.960 and 99.9% is k = 3.090)īonus question: To my understanding, the level of confidence only shows how likely the null hypothesis can be accepted or rejected. The literature often simplifies the coverage factor to k = 2 or 3 and still equates them to a confidence interval of 95 and 99%. I am interested in one-tailed distributions which would equate a level of confidence of 95 and 99% for infinite degrees of freedom to a coverage factor of 1.645 and 2.326. ![]() I am trying to figure out how the t-values, often presented in tables, are calculated, especially the critical points for infinite degrees of freedom. R-bloggers - blog aggregator with statistics articles generally done with R software. Kaggle Self posts with throwaway accounts will be deleted by AutoModerator Memes and image macros are not acceptable forms of content. Just because it has a statistic in it doesn't make it statistics. Please try to keep submissions on topic and of high quality. They will be swiftly removed, so don't waste your time! Please kindly post those over at: r/homeworkhelp. This is not a subreddit for homework questions. All Posts Require One of the Following Tags in the Post Title! If you do not flag your post, automoderator will delete it: Tag
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