Exam 11: Analysis of Variance

Use the following sample data to answer the next questions. Geneticists studying carriers of genetic diseases followed subjects subdivided by race. Researchers randomly selected seven patients per race who had been identified as carrying a certain gene for a genetic disease; these patients were followed to determine the number of their siblings who also carried the gene for the genetic disease. Use a One-Way ANOVA at a .05 significance level to test the claim that the means from the different races are not all the same. -Determine the value of the F test statistic.

Use the following technology display from a Two-Way ANOVA to answer the next questions. Wildlife biologists studying beaver habitats measured the number of beaver colonies per square mile identified at two randomly selected wetland habitats, under three densities of tree growth (sparse, average, or dense growth). Use a .05 significance level. -State a final conclusion about the overall study.

Determine whether the following statement is true or false. -Assuming calculations for a One-Way ANOVA with equal sample sizes, if each data value in one of the samples is increased by a fixed amount, then any change in the F test statistic and the P-value is attributable only to the change in the sample variances.

Use the following sample data to answer the next questions. Geneticists studying carriers of genetic diseases followed subjects subdivided by race. Researchers randomly selected seven patients per race who had been identified as carrying a certain gene for a genetic disease; these patients were followed to determine the number of their siblings who also carried the gene for the genetic disease. Use a One-Way ANOVA at a .05 significance level to test the claim that the means from the different races are not all the same. -State a conclusion about the null hypothesis.

Use the following technology display from a Two-Way ANOVA to answer the next questions. Wildlife biologists studying beaver habitats measured the number of beaver colonies per square mile identified at two randomly selected wetland habitats, under three densities of tree growth (sparse, average, or dense growth). Use a .05 significance level. -For the density effect, identify the null hypothesis, the value of the F test statistic, and the .

Determine whether the following statement is true or false. -One method to reduce the effect of extraneous factors is to design the experiment so that it has a convenience sampling design.

Use the following sample data to answer the next questions. Geneticists studying carriers of genetic diseases followed subjects subdivided by race. Researchers randomly selected seven patients per race who had been identified as carrying a certain gene for a genetic disease; these patients were followed to determine the number of their siblings who also carried the gene for the genetic disease. Use a One-Way ANOVA at a .05 significance level to test the claim that the means from the different races are not all the same. -Identify the alternative hypothesis.

Use the following technology display from a Two-Way ANOVA to answer the next questions. Biologists studying habitat use in Lepidopteran moths measured the number of savannah moths found at three randomly selected prairie sites with two potential habitat interferences (expansion of row crops and grazing). Use a .05 significance level. -For the site effect, state a conclusion about the null hypothesis.

Use the following technology display from a Two-Way ANOVA to answer the next questions. Biologists studying habitat use in Lepidopteran moths measured the number of savannah moths found at three randomly selected prairie sites with two potential habitat interferences (expansion of row crops and grazing). Use a .05 significance level. -For the site effect, identify the null hypothesis, the value of the F test statistic, and the

Use the following technology display from a Two-Way ANOVA to answer the next questions. Wildlife biologists studying beaver habitats measured the number of beaver colonies per square mile identified at two randomly selected wetland habitats, under three densities of tree growth (sparse, average, or dense growth). Use a .05 significance level. -For the interaction effect, state a conclusion about the null hypothesis.

Use the following technology display from a Two-Way ANOVA to answer the next questions. Biologists studying habitat use in Lepidopteran moths measured the number of savannah moths found at three randomly selected prairie sites with two potential habitat interferences (expansion of row crops and grazing). Use a .05 significance level. -For the interaction effect, state a conclusion about the null hypothesis.

Determine whether the following statement is true or false. -For a Two-Way ANOVA, assuming there is an interaction, we can continue to interpret the results of the row and column effects.

Use the following sample data to answer the next questions. Geneticists studying carriers of genetic diseases followed subjects subdivided by race. Researchers randomly selected seven patients per race who had been identified as carrying a certain gene for a genetic disease; these patients were followed to determine the number of their siblings who also carried the gene for the genetic disease. Use a One-Way ANOVA at a .05 significance level to test the claim that the means from the different races are not all the same. -Identify the null hypothesis.

Use the following sample data to answer the next questions. For a study on Type 1 diabetes, medical graduate students subdivided the United States into four study regions (Northeast, Southeast, Southwest, and Northwest). The students randomly selected seven patients per region and recorded the number of times during a randomly selected month that each patient used insulin shots to regulate blood sugar levels. Use One-Way ANOVA at a .05 significance level to test the claim that the means from the different regions are not the same. Mean number of times patients used insulin shots to regulate blood sugar levels -Identify the alternative hypothesis.

Determine whether the following statement is true or false. -If there is only one observation per cell in a Two-Way ANOVA, and it can be assumed there is not an interaction between factors, then we can proceed to interpret the results of the row and column effects.

Determine whether the following statement is true or false. -The reason we cannot use two One-Way ANOVAs instead of using a Two-Way ANOVA is that this would ignore the effect of interaction between the two factors.

Use the following technology display from a Two-Way ANOVA to answer the next questions. Biologists studying habitat use in Lepidopteran moths measured the number of savannah moths found at three randomly selected prairie sites with two potential habitat interferences (expansion of row crops and grazing). Use a .05 significance level. -For the interaction effect, identify the null hypothesis, the value of the F test statistic, and the

Use the following technology display from a Two-Way ANOVA to answer the next questions. Biologists studying habitat use in Lepidopteran moths measured the number of savannah moths found at three randomly selected prairie sites with two potential habitat interferences (expansion of row crops and grazing). Use a .05 significance level. -For the habitat effect, state a conclusion about the null hypothesis.

Determine whether the following statement is true or false. -Assuming calculations for a One-Way ANOVA with equal sample sizes, if each data value in one of the samples is increased by a fixed amount, then any change in the F test statistic and the P-value is attributable only to the change in the sample mean.

Use the following technology display from a Two-Way ANOVA to answer the next questions. Wildlife biologists studying beaver habitats measured the number of beaver colonies per square mile identified at two randomly selected wetland habitats, under three densities of tree growth (sparse, average, or dense growth). Use a .05 significance level. -For the site effect, identify the null hypothesis, the value of the F test statistic, and the