Least significant difference formula

    • [DOC File]Comparisons Among Several Samples (Analysis of Variance ...

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      The least significant difference (LSD) is the smallest difference in sample means which would yield a p-value of a two-sided test that is less than .05. The LSD equals where is the pooled sample standard deviation (see page 121 from formula).


    • [DOC File]This example shows the analyses for the one-way ANOVA

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      > # whose absolute difference (from first column; take absolute values) is > # GREATER THAN the Least Significant Difference (second column) are > # judged to be significantly different by Fisher. > > # Tukey procedure: > > # The TukeyHSD function does the Tukey multiple comparison procedure in R. > # The last column gives the ADJUSTED P-values.


    • [DOC File]PLSC 724 - PRACTICE TEST ONE - NDSU

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      Given that 16 and = 22, and the LSD =7.3, should you accept or reject the null hypothesis of no difference between means? If 30 and 52, should the null hypothesis of μ1 + 15 = μ2 be accepted or rejected if tabular `t`= 2.06 and 4? What is the formula for the least significant difference?


    • [DOC File]DETERMINING EMPIRICAL AND MOLECULAR FORMULAE

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      The formula weight of the empirical formula is 30 g/mol. Divide the molecular weight by the empirical formula weight to find a multiple: The molecular formula is a multiple of 6 times the empirical formula: C(1 x 6) H(2 x 6) O(1 x 6) which becomes C6H12O6. Alternatively, the empirical and molecular formula may be determined from experimental data.


    • [DOC File]Power and Sample Size Calculation - Purdue University

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      In the example, assume that a pilot study has been done, and that the standard deviation of the difference between the two groups has been found to be 5, with a mean difference of 2. We’d like to calculate the required sample size for an experiment with 80% power. proc. power; pairedmeans test=diff . meandiff = 2 . stddev = 5. npairs ...


    • [DOC File]Sampling and Sample Size - Columbia University

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      For difference among many means, pick the two means you really care about and then apply Lehr’s rule to get the sample size for each group. For the difference between proportions use N = 16 p(1 - p) / (p0 - p1)2 where p = (p0 + p1)/2. Hulley, Chapter 6, has some useful sample size estimation tables.


    • [DOC File]Topic 4. Mean separation: Multiple comparisons [S&T Ch.8 ...

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      5. 3. 1. 1. The repeated t and least significant difference: LSD. One of the oldest, simplest, and most widely misused multiple pairwise comparison tests is the least significant difference (LSD) test. The LSD is based on the t-test (ST&D 101); in fact, it is simply a sequence of many t-tests. Recall the formula for the t statistic: where


    • [DOC File]I use the following mnemonic devices to help students ...

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      : the mean difference in blood hemoglobin level at 12 months of age between breast-fed babies and the formula-fed babies. It is reasonable to assume that the samples were chosen randomly and independently. It is also reasonable to assume that at least 230 breast-fed babies and 190 formula-fed babies are present in the population.


    • [DOC File]Measurement and Measurement Error

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      This figure is the least significant figure. It is also important to understand approximately the magnitude of the uncertainty so that you can state it with the measurement. For example, a length measurement of 2.500 meters (4 significant figures) is one digit less uncertain that a measurement of 2.50 meters (3 significant figures).


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