describe Neamos test for matched samples

Solutions

Expert Solution

Test for Matched samples-

To compare matched or paired samples. The two comparison groups are said to be dependent, and the data can arise from a single sample of participants where each participant is measured twice (possibly before and after an intervention) or from two samples that are matched on specific characteristics (e.g., siblings). When the samples are dependent, we focus on difference scores in each participant or between members of a pair and the test of hypothesis is based on the mean difference, μ_d. The null hypothesis again reflects "no difference" and is stated as H₀: μ_d =0 . Note that there are some instances where it is of interest to test whether there is a difference of a particular magnitude (e.g., μ_d =5) but in most instances the null hypothesis reflects no difference (i.e., μ_d=0).

The appropriate formula for the test of hypothesis depends on the sample size. The formulas are shown below and are identical to those we presented for estimating the mean of a single sample presented (e.g., when comparing against an external or historical control), except here we focus on difference scores.

Test Statistics for Testing

H₀: μ_d =0

if n > 30

if n < 30

where df =n-1

milcah answered 10 months ago

Next > < Previous

Related Solutions

You should use a pooled t-test versus a non-pooled t-test when the samples are matched. the...

You should use a pooled t-test versus a non-pooled t-test when the samples are matched. the variance of the two populations are equal. the sample sizes of both groups are the same. None of these the samples are matched and the sample sizes of both groups are the same.

1. What is the difference between a test of independent means and a test of matched...

1. What is the difference between a test of independent means and a test of matched means? 2. How would I calculate a test of matched means? what is the“matched” means? 3. Do you think both these tests ( a test of independent means and a test of matched means) are reasonable? Fair? Why or why not? Common concerns might be assumptions of the test being met, the practicality of the test, etc.

Indicate which test (dependent samples t-test, independent samples t-test, independent samples z-test) is most appropriate for...

Indicate which test (dependent samples t-test, independent samples t-test, independent samples z-test) is most appropriate for the following situation: i. Comparison of mean recycling participation between 9 large cities and 11 small cities ii. Comparison of the weights of 16 Toronto Maple Leaf rookies at the beginning versus the end of the regular NHL season. iii. Comparison of fin length of 35 male and 37 female brook trout sampled in Spruce Lake, Nottingham Forest. iv. Comparison of the mass of...

Consider the following matched samples representing observations before and after an experiment. Assume that the sample...

Consider the following matched samples representing observations before and after an experiment. Assume that the sample differences are normally distributed. Use Table 2. Before 2.5 1.8 1.4 -2.9 1.2 -1.9 -3.1 2.5 After 2.9 3.1 3.9 -1.8 0.2 0.6 -2.5 2.9 Let the difference be defined as Before – After. a. Construct the competing hypotheses to determine if the experiment increases the magnitude of the observations. H0: μD = 0; HA: μD ≠ 0 H0: μD ≥ 0; HA: μD...

1. Identify which test the scenario will use: independent samples t test, paired samples t test,...

1. Identify which test the scenario will use: independent samples t test, paired samples t test, chi square test for goodness of fit, chi square test for independence or chi square test for homogeneity. A. A researcher goes to the parking lot at a large grocery chain and observes whether each person is male or female and whether they return the cart to the correct spot before Chi leaving (yes or no). B. Amber Sanchez, a statistics student, collected data...

Which on of the following is NOT a situation appropriate for Sign Test? Claims involving matched...

Which on of the following is NOT a situation appropriate for Sign Test? Claims involving matched pairs of sample data Claims about the median of a single population. Claims involving nominal data with two categories What would be considered to be a small sample for Sign Test? Sample with n<25 n≤25 n<30 n<35 Which is the appropriate situations for Wilcoxon Signed-Ranks Test? Median of matched pairs Two population variances Two population modes Two population ranges

Assignment 4: T test for Dependent samples Directions Conduct a T test for Dependent Samples to...

Assignment 4: T test for Dependent samples Directions Conduct a T test for Dependent Samples to answer the questions based on the following scenario. (Assume a nondirectional research hypothesis (two-tailed test) and a level of significance of .05) Scenario To further examine the school performance scores of the district, the superintendent identified schools within the district that could be matched to schools from surrounding districts using a series of demographic characteristics such as size, socio-economic status, and percent special education...

Assignment #4: T test for Dependent Samples Directions: Conduct a T test for Dependent Samples to...

Assignment #4: T test for Dependent Samples Directions: Conduct a T test for Dependent Samples to answer the questions based on the following scenario. (Assume a nondirectional research hypothesis (two-tailed test) and a level of significance of .05) To further examine the school performance scores of the district, the superintendent identified schools within the district that could be matched to schools from surrounding districts using a series of demographic characteristics such as size, socio-economic status, and percent special education students....

5. TWO (INDEPENDENT) SAMPLE T-TEST (a) Describe the independent samples t-test for two means briefly. How...

5. TWO (INDEPENDENT) SAMPLE T-TEST (a) Describe the independent samples t-test for two means briefly. How does it do it? (b) State the null and the alternative hypothesis. (c) State the assumptions. (d) State the formula for the test statistic. (e) State the rejection rule with (How to reject the null hypothesis) (f) Give an real life example of how we can use the independent samples t-test for two means.

TWO (INDEPENDENT) SAMPLE T-TEST (a)Describe the independent samples t-test for two means brieﬂy. How does it...

TWO (INDEPENDENT) SAMPLE T-TEST (a)Describe the independent samples t-test for two means brieﬂy. How does it do it? (b) State the null and the alternative hypothesis. (c) State the assumptions. (d) State the formula for the test statistic. (e) State the rejection rule with (How to reject the null hypothesis) (f) Give an real life example of how we can use the independent samples t-test for two means.

Subjects