Suppose you conduct a 1-way ANOVA, in which you are comparing a continuous measure of immune response between 3 treatment groups (A, B, and C). The overall alpha level is set at 0.05. You ask for all pairwise comparisons, and you find that the unadjusted p-values for these comparisons are as follows:
A vs. B: p=0.0333
A vs. C: p=0.1500
B vs. C: p=0.0100
Which of the following statements is true?
Question 20 options:
|
No correction for multiple hypothesis testing would be necessary in this situation. |
|
After a Bonferroni correction, the difference between groups B and C would remain statistically significant. |
|
After a Bonferroni correction, none of the p-values would remain statistically significant. |
|
After a Bonferroni correction, the difference between groups A and B and between groups B and C would remain statistically significant. |
|
After a Bonferroni correction, all of the p-values would remain statistically significant. |
Trending nowThis is a popular solution!
Step by stepSolved in 3 steps with 3 images
- Two separate samples receive two different treatments. The first treatment group (N = 9) has a mean of 50 with SS = 710. The second treatment group (N = 6) has a mean of 60 with SS = 460. Is the second treatment group significantly larger than the first? What is the effect size?arrow_forwardA manufacturer of children's vitamins claims that its vitamins are mixed so that each batch has exactly the following percentages of each color: 10 % green, 30 % yellow, 30 % red, and 30 % orange. To test the claim that these percentages are incorrect, 100 bottles of vitamins were sampled and the colors of the vitamins were tallied. The results are listed in the following table. At a = 0.025, determine whether there is sufficient evidence to conclude that the percentages stated by the vitamin manufacturer are incorrect. Children's Vitamins Green Yellow Red Orange Number 590 1765 1717 1615 Copy Data Step 2 of 4: Calculate the expected value for the number of vitamins that are orange. Round your answer to three decimal places, if necessary.arrow_forwardFind the critical value for a test for correlation with α = 0.01 for a sample size of 18.arrow_forward
- Women are recommended to consume 1700 calories per day. You suspect that the average calorie intake is different for women at your college. The data for the 12 women who participated in the study is shown below: 1784, 1677, 1583, 1984, 1910, 1737, 1522, 1574, 1853, 1546, 1707, 1866 Assuming that the distribution is normal, what can be concluded at the αα = 0.10 level of significance? For this study, we should use The null and alternative hypotheses would be: H0:H0: H1:H1: The test statistic = (please show your answer to 3 decimal places.)arrow_forwardConsider the following measurements of blood hemoglobin concentrations (in g/dL) from three human populations at different geographic locations: population1 = [ 14.7 , 15.22, 15.28, 16.58, 15.10 ] population2 = [ 15.66, 15.91, 14.41, 14.73, 15.09] population3 = [ 17.12, 16.42, 16.43, 17.33] Perform ANOVA to check if any of these populations have different mean hemoglobin concentrations. (Assume that all the ANOVA requirements such as normality, equal variances and random samples are met.) After you perform ANOVA perform a Tukey-Kramer post-hoc test at a significance level of 0.05 to see which populations actually have different means. As usual, round all answers to two digits after the decimal point. (Make sure you round off to at least three digits any intermediate results in order to obtain the required precision of the final answers.) For any questions, which ask about differences in means or test statistics, which depend on differences in means provide absolute values. In…arrow_forwardIn a 2005 study 2205 adolescents aged 12 - 19 years old were give a treadmill test to check their cardiovascular health. 750 of the subjects were determined to have poor cardiovascular fitness. The researchers want to claim that more than 30% of adolescents have poor cardiovascular health (with a 5% level of significance). The research hypothesis is Ha:p>0.30. Find the test statistic, p-value, and state your conclusion.arrow_forward
- A researcher wanted to examine whether type of dog food (freeze dried meat vs generic brand kibble) would affect dogs’ attention span. The researcher hypothesized that dogs who ate freeze dried meat would have longer attention spans than those who ate generic brand kibble. The researcher used a single sample of 13 subjects, that took part in both treatment conditions. The researcher set the alpha level at .01. The mean of the difference scores (MD)was 7.0 and the SSD for the difference in attention spans was 144. What is the calculated test statistic to the nearest thousandth? Be sure to put the positive or negative sign in front of it. Note: SHOW ALL WORK!!! Based on your work above, do you reject or retain the null? reject retain Based on your conclusion regarding the null, was there a treatment effect? Yes Noarrow_forwardAn investigation is performed to evaluate two new experimental treatments for allergies. 18 subjects who suffer from allergies are enrolled in the study and randomly assigned to one of three treatments: Control Group, Experimental Treatment 1, or Experimental Treatment 2. Each subject is instructed to take the assigned treatment, and symptoms of allergies are recorded on a scale of 1 to 20, with higher scores indicating worse symptoms. The data is summarized in the table below: SBP Std. Deviation Group Mean Control Treatment 6. 16.17 2.483 Experimental Treatment 1 6. 11.33 1.966 Experimental Treatment 6. 3.83 1.472 Total 18 10.44 5.554 Use this data to complete an ANOVA table to test for a significant difference in the means of each of the groups. Round all answers to the third decimal point.arrow_forwardFor a repeated-measures study comparing two treatment conditions, a researcher obtains a sample of n = 10 difference scores with a mean of MD = 6 and a variance of s2 = 90. What is the value for the repeated-measures t statistic for these data? Select one: a. 7 b. 6 c. 2 d. 15arrow_forward
- Suppose IQ scores were obtained for 20 randomly selected sets of siblings. The 20 pairs of measurements yield x=99.75, y=101, r=0.921, P-value=0.000, and y=2.6+0.99x, where x represents the IQ score of the older child. Find the best predicted value of y given that the older child has an IQ of 102? Use a significance level of 0.05.arrow_forwardIn a certain study, the effect on oat yield was compared for the Pallinup, Overberg and Magnifico varieties of oats and four different concentrations of manure (0, 0.2, 0.4 and 0.6 tonnes per acre). Identify the experimental units, response variable, factor(s), levels of each factor and treatments.arrow_forwardA manufacturer of children's vitamins claims that its vitamins are mixed so that each batch has exactly the following percentages of each color: 20 % green, 30 % yellow, 30% red, and 20% orange. To test the claim that these percentages are incorrect, 100 bottles of vitamins were sampled and the colors of the vitamins were tallied. The results are listed in the following table. At a = 0.025, determine whether there is sufficient evidence to conclude that the percentages stated by the vitamin manufacturer are incorrect. Number Children's Vitamins Green 906 I Yellow 1321 Porange Red 1306 Copy Data Step 1 of 4: State the null and alternative hypotheses in terms of the expected proportion for each color of vitamin. Ho:P green = - Pyellow = _Pred = Ha: There is a difference from the stated proportions. Orange 778arrow_forward
- MATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons IncProbability and Statistics for Engineering and th...StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage LearningStatistics for The Behavioral Sciences (MindTap C...StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage Learning
- Elementary Statistics: Picturing the World (7th E...StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSONThe Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. FreemanIntroduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. Freeman