Derive the formulae for Fisher's exact test
Fisher's exact test can be used as a quick test for correlation between two variables X and Y, each of which has at least an ordinal scale of measurement. Divide the scatterplot of the N values of (X,Y) with a vertical line at the median of X, and a horizontal line at the median of Y, and count the number of observations in each of the four quadrants. Note that the row and column totals are N/2, and are not...
4. When calculating a one-sided p-value for Fisher's exact test, the focus is on the upper left-hand cell of the table, typically denoted as nui but is denoted as k in the table below. Explanatory Response Yes No Level 1 k Ri- k R Level 2 C-k R-C1 + R2 CCT To find the p-value, for each value of k (k = 111,111 +1,...,min(Ri,C) or k = 0,1,...,111 for k >nul and k < 111, respectively), the proportion of possible...
4. When calculating a one-sided p-value for Fisher's exact test, the focus is on the upper left-hand cell of the table, typically denoted as ny but is denoted ask in the table below No Explanatory Level 1 Level 2 Response Yes R- ER C-k R -C: + Ry CE CT To find the p-value, for each value of lik u +1.....min(R.C) or k = 0,1,...,n for k 2 and k <ni, respectively), the proportion of possible randomizations leading to that...
from nonparametric statistics with applications to science and engineering book 6.7 EXERCISES 6.1. Derive the exact distribution of the Kolmogorov test statistic D, for the case n = 1.
Using the following formulae (and only the following formulae), s = θr ; ω = v/r ; v = ds/dt ; ω = dθ/dt ; α = a/r ; a = dv/dt ; α = dω/dt ; α = ω^2 ; K = 1/2 mv^2 , derive the equation for the kinetic energy of an object moving in a circle with a constant tangential velocity in terms of m, ω, and r.
derive a formula for exact amplification factor for the case shown aL
What is your conclusion? b. At the α-05 level of significance, use Fisher's LSD procedure to test for the equality of the means for manufacturers 1 and 3. Calculate Fisher's LSD Value (to 2 decimals). what is your condusion about the mean time for manufacturer i and the mean time for manufacturer Select
Derive the error expression for the following: b. where g is an exact constant but m, v and h are measured values with uncertainties. pa: 10 cos θ where both vo and 6 are measured values c.
1. In order to test the treatment A is better than B, we conduct an experiment and obtain the following table Success Failure Trt A 4 Trt B 2 6 (a) Compute p-value of the Fisher's exact test (b) Compute p-value of approximated test based on CLT (i.e., z-test (c) Which one do you think appropriate? Justify your answer (*) Do NOT use chisq.test() function in R.
1. Derive the exact distribution to test the independence for the 2 x 2 contingency table Response 1 n1 n12 n1+ 2 n21 n22 n2+ +1 m+2 The hypergeometric distribution can be used to find the probability of observing a particular 2x2 table under independence . In the independent binomial model, we observe two random variables, Nu and N21 . We use the observed values n1u and n21 to compare the respective probabilities of success, π1 and π2 . The...