The relation between 't' ratio and 'F' ratio is :
t=Square root of F
F Ratio and t Ratio Statistical Link
The relationship between the t ratio (t-statistic) and the F ratio (F-statistic) is a key concept in statistical hypothesis testing. This connection is particularly evident when the F-test is used in contexts where the numerator has only one degree of freedom.
In such specific statistical situations, the F-statistic is precisely the square of the corresponding t-statistic. Mathematically, this is expressed as:
$F = t^2$
To find the relationship for the t-statistic itself, we take the positive square root of both sides of this equation. This yields:
$t = \sqrt{F}$
This inverse relationship highlights that the t-statistic is effectively the square root of the F-statistic under these conditions, frequently observed in simple regression or when comparing two variances.
Important Questions from Probability and Statistics
In an examination involving multiple choice questions, a student works out the solution in 50% of the questions. In the remaining questions the student guesses the answer. However, when the answer is guessed the probability that it is correct is 0.30. When the student works out the solutions it may be wrong with probability 0.10.
If the answer to a particular question is correct, what is the probability that the student guessed the answer?
In a frequency curve, what is plotted on the vertical axis?
The probability that a teacher will give an unannounced test during any class is 1/5. If a student is absent twice, then probability that misses atleast one test is
A fair coin is tossed independently four times. The probability of the event “the number of times heads show up is more than the number of times tails show up" is
Lifetime of an electric bulb is a random variable with density f(x) = kx2, where x is measured in years. If the minimum and maximum lifetimes of bulb are 1 and 2 years respectively, then the value of k is ______
