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Formula Standard Error Paired T Test

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Matched Pairs T Test Calculator

the difference between paired means. The test procedure, called the matched-pairs t-test, is appropriate when the following conditions are met: The sampling method for each sample is simple random sampling. The test is conducted on paired data. (As a result, the data sets are not independent.) The sampling distribution is approximately normal, which is generally true paired t test example pdf if any of the following conditions apply. The population distribution is normal. The population data are symmetric, unimodal, without outliers, and the sample size is 15 or less. The population data are slightly skewed, unimodal, without outliers, and the sample size is 16 to 40. The sample size is greater than 40, without outliers. This approach consists of four steps: (1) state the hypotheses, (2) formulate an analysis plan, (3) analyze sample data, and (4) interpret results. State the Hypotheses Every hypothesis test requires the analyst to state a null hypothesis and an alternative hypothesis. The hypotheses are stated in such a way that they are mutually exclusive. That is, if one is true, the other must be false; and vice versa. The hypotheses concern a new variable d, which is based on the difference between paired values from two data sets. d = x1 - x2 where x1 is the value of variable x in the first data set, and x2 is the value of the vari

a pair of samples (Armitage and Berry, 1994; Altman, 1991). The paired t test provides an hypothesis test of the difference between paired sample t test example population means for a pair of random samples whose differences are

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approximately normally distributed. Please note that a pair of samples, each of which are not from normal a

T-test Paired Two Sample For Means Excel Interpretation

distribution, often yields differences that are normally distributed. The test statistic is calculated as: - where d bar is the mean difference, s² is the sample variance, http://stattrek.com/hypothesis-test/paired-means.aspx?Tutorial=AP n is the sample size and t is a Student t quantile with n-1 degrees of freedom. Power is calculated as the power achieved with the given sample size and variance for detecting the observed mean difference with a two-sided type I error probability of (100-CI%)% (Dupont, 1990). Limits of agreement If the main purpose in http://www.statsdirect.com/help/parametric_methods/paired_t.htm studying a pair of samples is to see how closely the samples agree, rather than looking for evidence of difference, then limits of agreement are useful (Bland and Altman 1986, 1996a, 1996b). StatsDirect displays these limits with an agreement plot if you check the agreement box before a paired t test runs. For more detailed analysis of this type, see agreement analysis. Agreement plot When two methods of measurement are compared it is almost always wrong to present a scatter plot with correlation as a measure of agreement between the paired data. Highly correlated results often agree poorly, indeed large shifts in measurement scales may leave the correlation coefficient unaltered. It is therefore necessary to provide a measure of agreement. StatsDirect provides a plot of the difference against the mean for each pair of measurements. This plot also displays the overall mean difference bounded by the limits of agreement. A good review of this subject has been provided by Bland and Altman (Bland and Altman, 1986; Altman, 1991). Example Test

Discussion | See also Description The t-test gives an indication of how separate two sets of measurements are, allowing you to determine whether something has changed and there are two distributions, or whether there is effectively only one distribution. The matched-pair http://changingminds.org/explanations/research/analysis/paired_t-test.htm t-test (or paired t-test or paired samples t-test or dependent t-test) is used when the data http://www.graphpad.com/quickcalcs/ttest1/?Format=SD from the two groups can be presented in pairs, for example where the same people are being measured in before-and-after comparison or when the group is given two different tests at different times (eg. pleasantness of two different types of chocolate). In design notation, this could be is: R O X O or R X O X O Goodness of fit This can t test also be used when you have one measure and are matching against a particular frequency distribution, for which you can determine 'should' measures. The two most common distributions to test for are normal (bell-shaped) and flat. In a flat distribution, all items are equally likely. The t-test can be used here to discover whether any one or more of a set of measures is significantly different from the others. This use of the chi-square test is often known as the 'Goodness of paired t test Fit' test. Calculation The value of t may be calculated using packages such as SPSS. The actual calculation is: t = AVERAGE(X1-X2) / ( Sd / SQRT( n) ) Where Sd is the standard deviation of the differences and n is the number of pairs. Sd = SQRT( (SUM((X1-X2)2) - (SUM(X1-X2))2/n) / (n-1) ) Interpretation The resultant t-value is then looked up in a t-table as below to determine the probability that a significant difference between the two sets of measures exists and hence what can be claimed about the efficacy of the experimental treatment. The t-value can also be interpreted as an r-value, which can be calculated as: r = SQRT( t2 / (t2 + DF)) where DF is the degrees of freedom. Example The results of two sets of measures are as follows: X1 X2 X1-X2 (X1-X2)^2 5.24 7.53 -2.29 5.24 6.13 7.81 -1.68 2.82 6.15 8.79 -2.64 6.99 6.28 9.06 -2.79 7.76 6.62 10.48 -3.86 14.88 6.67 11.63 -4.95 24.53 7.09 12.61 -5.52 30.44 7.58 13.47 -5.89 34.65 7.78 14.49 -6.71 45.04 8.21 14.76 -6.55 42.85 9.09 15.87 -6.78 46.00 10.09 16.70 -6.61 43.69 11.27 17.66 -6.40 40.91 11.90 19.07 -7.17 51.46 13.16 19.59 -6.43 41.37 n: 15 Sum: -76.26 438.64 df = n-1: 14 Mean: -5.08 Sd : 1.90 t

test calculator A t test compares the means of two groups. For example, compare whether systolic blood pressure differs between a control and treated group, between men and women, or any other two groups. Don't confuse t tests with correlation and regression. The t test compares one variable (perhaps blood pressure) between two groups. Use correlation and regression to see how two variables (perhaps blood pressure and heart rate) vary together. Also don't confuse t tests with ANOVA. The t tests (and related nonparametric tests) compare exactly two groups. ANOVA (and related nonparametric tests) compare three or more groups. Finally, don't confuse a t test with analyses of a contingency table (Fishers or chi-square test). Use a t test to compare a continuous variable (e.g., blood pressure, weight or enzyme activity). Use a contingency table to compare a categorical variable (e.g., pass vs. fail, viable vs. not viable). 1. Choose data entry format Enter up to 50 rows. Enter or paste up to 2000 rows. Enter mean, SEM and N. Enter mean, SD and N. Caution: Changing format will erase your data. 3. Choose a test Unpaired t test. Welch's unpaired t test (used rarely). (You can only choose a paired t test if you enter individual values.) Help me decide. 2. Enter data Help me arrange the data. Label: Mean: SD: N: 4. View the results GraphPad Prism Organize, analyze and graph and present your scientific data. MORE > InStat With InStat you can analyze data in a few minutes.MORE > StatMate StatMate calculates sample size and power.MORE >

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