Statistically significant findings in ANOVA are found when the observed D-ratio does not exceed the expected F-value (Fcrit) under the null hypothesis.
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Statistically significant findings in ANOVA are found when the observed D-ratio does not exceed the
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- Both t-tests and ANOVA tests are used to examine whether certain factors have an impact on a behavior of interest (the DV). Under what circumstances should researchers select to use ANOVA instead of a t-test? In other words, what are the types of designs in which ANOVA should be used instead of a t-test?|Left ventricular mass (LVM) is an important risk factor for subsequentcardiovascular disease. A study is conducted to assess the relationship between the size of LVM in children (as determined from an echocardiogram) and the size of LVM four years later in the same individuals. Does LVM change over time in children? Completely conduct the appropriate hypothesis and list any additional necessary assumptions (you can assume that additional assumptions are met by the data) test with alpha =0.01. i Baseline LVM LVM 4 years later 1 134 126 2 86 142 3 78 111 4 73 82Rates of return (annualized) in two investment portfolios are compared over the last 12 quarters. They are considered similar in safety, but portfolio B is advertised as being "less volatile." (a) At a= .025, does the sample show that portfolio A has significantly greater variance in rates than portfolio B? (b) At a=.25, is there a significant difference in the means? Reject the null hypothesis if the F calc >? Calculate the test statistic? Portfolio A: 5.11, 10.86, 12.44, 4.16, 5.59, 8.67, 7.70, 9.86, 9.64, 4.97, 11.60, 11.43 Portfolio B: 9.08, 8.70, 7.57, 6.19, 7.69, 7.03, 7.61, 7.76, 8.74, 8.89, 7.50, 9.88 1) Specify the decision rule. Reject the null hypothesis if Fcalc>____ 2) State the decision rule for .01 level if significance. Reject the null hypothesis if tcalc<____ or tcalc>____
- When the null hypothesis is true for an ANOVA, what is the expected value for the F-ratio?A large p-value indicates that the data is consistent with the alternative hypothesis. True or false?The MANOVA is very sensitive to deviations from normality; therefore, the significance for this test is typically defined as
- In an area where there is no radioactive fallout, 1% of newborns show genetic disorders. Genetic disorders were observed in 150 out of 10000 babies born in a year in a region with radioactive fallout as a result of atomic bomb trials.Test whether radioactive fallout increases the rate of genetic defects at α = 0.05 significance level.Explain why the F-ratio is expected to be near 1.00 when the null hypothesis is true.T/F: An R^2 value near 100% indicates that there is a strong causal relationship between the response and the predictor variables. T/F: Standard deviation of the sum of two independent random variables is the sum of their standard deviations.
- Initial data from a sample of 100 people suggests that stress increases blood pressure (a positive correlation is observed). What is the null hypothesis?An RA at the University of Baltimore has concluded that the difference between the mean GPA scores of Senior and junior is statistically significant, when in fact the null hypothesis of no difference is true. What type of error has he committed?Why is it impossible to calculate a negative F value when using an Analysis of Variance to test a hypothesis?