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Post-hoc fallacy is that condition where regression shows a high degree of correlation (R square is high), but there is no real cause-effect relationship between the independent and dependent variables. For example, when the rooster crows each morning, the sun pops up every time (even if we can't see it). R square would be 1.00 in this case, but does that mean the rooster's crow actually caused the sun to rise? Clearly not, that would be post-hoc fallacy to conclude otherwise...there is no real cause and effect.
After doing a regression analysis on two sets of data, how would you go about ensuring that you have not fallen into the post-hoc fallacy trap?
How would you explain post-hoc fallacy to your boss or CO, who has no statistical background?
A sample of 10 urgent and non-urgent patients was conducted to determine average wait time. The hospital wants to be sure that urgent patients do not wait as long as non-urgent patients. The following hypotheses have been formulated.
Calculate descriptive statistics for each stock and the S&P 500. Comment on your results. Which stocks are the most volatile? Calculate the value of beta for each stock.
At the .01 significance level can we conclude the mean age is more than 8.4 years for the cars of university students? What is the p-value?
A random sample of 1440 current job applicants results in 61 failures (based loosely on data from the American Management Association).
We often hear you can lie with statistics. This is one way of saying statistics can be easily mis-communicated. Find one example of how statistics are mis-communicated and explain why there was a mis-communication and what you would do to correct ..
We want to estimate the population mean within 5, with a 99% confidence level. The population std dev is estimated to be 15. How large is the required sample size?
Which of the following measures only the strength of a relationship?
The men took an average of 20.5 hours per year of personal time with a standard deviation of 2.75 hours. What is the pooled estimate of the variance? Round to three decimal places.
Let p1 = 100 and n1 = 500; and p2 = 200 with n2 = 500. Test whether there is a statistical difference between the two proportions at the 5% significance level.
Construct a 99% confidence interval for the proportion of Americans who live in neighborhoods with acceptable levels of carbon monoxide.
Does this sample prove a violation of the guideline that the average patient should pay no more than $250 out-of-pocket?
Florida State University administers a mathematics placement test to students where they 1st enter the university.
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