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Competition 1 Wiederholungssendung The name of a famous Russian mathematician is … A: Smirnoff B: Gorbatschoff C: Kolmogoroff D: Stroganoff 2 Wiederholungssendung The name of a famous Russian mathematician is … A: Smirnoff B: Gorbatschoff C: Kolmogoroff D: Stroganoff 3 Wiederholungssendung The name of a famous English statistician is … A: Miller B: Fisher C: Churchill D: Butler 4 Wiederholungssendung The name of a famous English statistician is … A: Miller B: Fisher C: Churchill D: Butler 5 Wiederholungssendung In order to describe the relation of two categorial variables, we use A: Boxplots B: Cross tables C: Histograms D: Bar plots 6 Wiederholungssendung In order to describe the relation of two categorial variables, we use A: Boxplots B: Cross tables C: Histograms D: Bar plots 7 Wiederholungssendung In order to describe the distribution of a continuous variable in several groups we use A: Boxplots B: Cross tables C: Histograms D: Bar plots 8 Wiederholungssendung In order to describe the distribution of a continuous variable in several groups we use A: Boxplots B: Cross tables C: Histograms D: Bar plots 9 Wiederholungssendung 100 measurements of a continuous variable are to be displayed in a histogram. How many bins should the histogram approximately have? A: 1 Bin B: 10 Bins C: 100 Bins D: 1000 Bins 10 Wiederholungssendung 100 measurements of a continuous variable are to be displayed in a histogram. How many bins should the histogram approximately have? A: 1 Bin B: 10 Bins C: 100 Bins D: 1000 Bins 11 Wiederholungssendung Which is the most robust measure of location for continuous data? A: Mean B: 1st Quartile C: Standard deviation D: Median 12 Wiederholungssendung Which is the most robust measure of location for continuous data? A: Mean B: 1st Quartile C: Standard deviation D: Median 13 Wiederholungssendung The maths grades of girls and boys of a school class are compared in a cross table (rows=grades, columns = gender). Which quantities are most informative for the comparison of grades within each group? A: Relative frequencies B: Row % C: Column % D: Total % 14 Wiederholungssendung The maths grades of girls and boys of a school class are compared in a cross table (rows=grades, columns = gender). Which quantities are most informative for the comparison of grades within each group? A: Relative frequencies B: Row % C: Column % D: Total % 15 Wiederholungssendung The binary endpoint „pain“ (yes/no) is measured twice a day (morning, evening) for each participant of a clinical trial. Which are the variables that constitute the rows/columns in a cross table? A: Pain, Time B: Patient #, Pain C: Pain (morning), Pain (evening) D: Time (morning), Time (evening) 16 Wiederholungssendung The binary endpoint „pain“ (yes/no) is measured twice a day (morning, evening) for each participant of a clinical trial. Which are the variables that constitute the rows/columns in a cross table? A: Pain, Time B: Patient #, Pain C: Pain (morning), Pain (evening) D: Time (morning), Time (evening) 17 Wiederholungssendung The distribution of a continuous variable is skewed to the right. Thus, A: Mode = Median B: Median > 65% Quantile C: 1.Quartile > Mean D: Median < Mean 18 Wiederholungssendung The distribution of a continuous variable is skewed to the right. Thus, A: Mode = Median B: Median > 65% Quantile C: 1.Quartile > Mean D: Median < Mean 19 Wiederholungssendung The distribution of a continuous variable is skewed to the left. A typical boxplot looks like: A: B: C: D: 20 Wiederholungssendung The distribution of a continuous variable is skewed to the left. A typical boxplot looks like: A: B: C: D: 21 Wiederholungssendung A t-Test at a 5% type I error level should be preferred over the „Offenbach Oracle“ because A: It produces only 5% false positives B: It produces less true negatives C: It does not make any assumption about the null distribution D: It produces less false negatives 22 Wiederholungssendung A t-Test at a 5% type I error level should be preferred over the „Offenbach Oracle“ because A: It produces only 5% false positives B: It produces less true negatives C: It does not make any assumption about the null distribution D: It produces less false negatives 23 Wiederholungssendung The decision boundary for a one-sided test statistic is d=7 at a significance level of α=5%. A valid acceptance region A for a corresponding two-sided test is: A: A = [-10,10] B: A = [-5,5] C: A = (∞,-10] ∪ [10,∞) D: A = (∞,-5] ∪ [5,∞) 24 Wiederholungssendung The decision boundary for a one-sided test statistic is d=7 at a significance level of α=5%. A valid acceptance region A for a corresponding two-sided test is: A: A = [-10,10] B: A = [-5,5] C: A = (∞,-10] ∪ [10,∞) D: A = (∞,-5] ∪ [5,∞) 25 Wiederholungssendung A two-group t-test at a significance level of α=1% yields a p-value of p=0.011. One can conclude that A: There is a difference between the two groups B: The type II error of the test is too high C: There is no significant difference D: The significance level has to be adjusted 26 Wiederholungssendung A two-group t-test at a significance level of α=1% yields a p-value of p=0.011. One can conclude that A: There is a difference between the two groups B: The type II error of the test is too high C: There is no significant difference D: The significance level has to be adjusted 27 Wiederholungssendung A two-sided (symmetrical) test at a significance level of α=5% yields a pvalue of p=0.002. One can conclude that A: There is a differnce between the groups B: The one-sided test would also be positive C: The test at a level of α=1% would also be positive D: The result is significant at a 1%-level 28 Wiederholungssendung A two-sided (symmetrical) test at a significance level of α=5% yields a pvalue of p=0.002. One can conclude that A: There is a differnce between the groups B: The one-sided test would also be positive C: The test at a level of α=1% would also be positive D: The result is significant at a 1%-level 29 Congratulations! 30