The Kolmogorov-Smirnov test is
defined by:
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formula for the computation of the
Kolmogorov-Smirnov goodness of fit statistic:
D=max1≤i≤N∣∣∣F(Yi)−iN∣∣∣ this formula can be rewritten as: D=max1≤i≤N(F(Yi)−iN,iN−F(Yi)) This form makes it clear that an upper bound on the difference between these two formulas is i/N. For actual data, the difference is likely to be less than the upper bound. |
5. Using the Kolmogorov-Smirnov two-sample test, show that the t statistic with large degrees of freedom...
TRUE or FALSE? WHY? 1) When the test statistic is t and the number of degrees of freedom is > 30, the critical value of t is very close to that of z (the standard normal). 2) The t-test can be applied with absolutely no assumptions about the distribution of the population.
(a)-1,305 b)-0.872 #) Find the standardized test statistic + for a sample with M= 20, x= 10.9, 5= 2.0, and d.o.on if H, pl. 11.3. round answer 3 decimal places. C)-0.894 d)-1.233 #2) if a sample of 12 is drawn from a Normal population, what should be used as the test statistic? a) to with 13 degrees of freedom b) Zo with Il degrees of freedom C) to witn il degrees of freedom d) zo with lg digues of freedom...
The t statistic, the t distribution, and sample size The average duration of labor from the first contraction to the birth of the baby in women over 35 who have not previously given birth and who did not use any pharmaceuticals is 16 hours. Suppose you have a sample of 35 women who exercise daily, and who have an average duration of labor of 16.9 hours and a sample variance of 39.7 hours. You want to test the hypothesis that...
Miriam is using a one-sample t-test on the following group: Subject #15: 6.5 hours Subject #27: 5 hours Subject #48: 6 hours Subject #80: 7.5 hours Subject #91: 5.5 hours Select the two TRUE statements. a.) The t-distribution that Miriam uses is taller and has thinner tails than a normal distribution. b.) The value for the degrees of freedom for Miriam's sample population is five. c.) The t-distribution that Miriam uses is shorter and has thicker tails than a normal...
Degrees of Freedom of a Known Test 2 points possible graded) Let us consider a statistical model with parameter ER". Let O be the parameter that generates the n lid samples X1,..., X, Let I ) be the Fisher information and assume that the MLE is asymptotically normal. Assume that I(C) is a diagonal matrix with positive entries 1/t1,...,1/td. We wish to perform a test for the hypotheses H : 8 - and H:8 + . Let the test statistic...
Please answer a and b years. a) How many degrees of freedom does the t-statistic have? b) How many degrees of freedom would the t-statistic have if the sample size had been 225? A survey of 25 randomly selected customers found the ages shown (in years). The mean is 33.68 years and the standard deviation is 10.5731 27 49 33 48 49 34 35 37 28 21 26 48 38 35 20 27 18 26 10 38 36 44 49...
T or F? The student's-t distribution tends toward the Normal distribution with large degrees of freedom.
5. The one-sample t statistic for a test of based on n-10 observations has the value t--2.25. a. What are the degrees of freedom for this statistic? b. What is the P-value for this test?
Let T have a (Student's) t distribution with 10 degrees of freedom. If P(T < k) = 0.95, what is the value of k? Let mu be the unknown mean of a Normal distribution. I take 20 observations randomly from this distribution, and want to test H0: mu = 15 vs H1: mu is not equal to 15 at the 5% level of significance. If I observe a p-value of 0.11, what decision can I make? Write mu for the...
Determine (a) the test statistic, (b) the degrees of freedom, (c) the P-alue, and (d) test the hypothesis at the a-0.05 level of significance. Outcome Obsenved Expected 25 25 25 25 A B C Do 22 28 24 26 H,: At least one of the proportions is different from the others Click the icon to wew the chi-square distribution table Round to two decimal places as needed.) (b) (True False) The number of degrees of freedom is oneless than the...