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1 Competition

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2 Wiederholungssendung The name of a famous Russian mathematician is … A: Smirnoff B: Gorbatschoff C: Kolmogoroff D: Stroganoff

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3 Wiederholungssendung The name of a famous Russian mathematician is … A: Smirnoff B: Gorbatschoff C: Kolmogoroff D: Stroganoff

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4 Wiederholungssendung The name of a famous English statistician is … A: Miller B: Fisher C: Churchill D: Butler

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5 Wiederholungssendung The name of a famous English statistician is … A: Miller B: Fisher C: Churchill D: Butler

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6 Wiederholungssendung In order to describe the relation of two categorial variables, we use A: Boxplots B: Cross tables C: Histograms D: Bar plots

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7 Wiederholungssendung A: Boxplots B: Cross tables C: Histograms D: Bar plots In order to describe the relation of two categorial variables, we use

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8 Wiederholungssendung A: Boxplots B: Cross tables C: Histograms D: Bar plots In order to describe the distribution of a continuous variable in several groups we use

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9 Wiederholungssendung A: Boxplots B: Cross tables C: Histograms D: Bar plots In order to describe the distribution of a continuous variable in several groups we use

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10 Wiederholungssendung A: 1 Bin B: 10 Bins C: 100 Bins D: 1000 Bins 100 measurements of a continuous variable are to be displayed in a histogram. How many bins should the histogram approximately have?

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11 Wiederholungssendung A: 1 Bin B: 10 Bins C: 100 Bins D: 1000 Bins 100 measurements of a continuous variable are to be displayed in a histogram. How many bins should the histogram approximately have?

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12 Wiederholungssendung A: Mean C: Standard deviation D: Median Which is the most robust measure of location for continuous data? B: 1 st Quartile

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13 Wiederholungssendung A: Mean C: Standard deviation D: Median B: 1 st Quartile Which is the most robust measure of location for continuous data?

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14 Wiederholungssendung A: Relative frequencies C: Column % D: Total % 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? B: Row %

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15 Wiederholungssendung A: Relative frequencies C: Column % D: Total % B: Row % 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?

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16 Wiederholungssendung A: Pain, Time C: Pain (morning), Pain (evening) D: Time (morning), Time (evening) 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? B: Patient #, Pain

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17 Wiederholungssendung A: Pain, Time C: Pain (morning), Pain (evening) D: Time (morning), Time (evening) B: Patient #, Pain 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?

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18 Wiederholungssendung A: Mode = Median C: 1.Quartile > Mean D: Median < Mean The distribution of a continuous variable is skewed to the right. Thus, B: Median > 65% Quantile

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19 Wiederholungssendung A: Mode = Median C: 1.Quartile > Mean D: Median < Mean B: Median > 65% Quantile The distribution of a continuous variable is skewed to the right. Thus,

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20 Wiederholungssendung A: C: D: B: The distribution of a continuous variable is skewed to the left. A typical boxplot looks like:

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21 Wiederholungssendung A: C: D: B: The distribution of a continuous variable is skewed to the left. A typical boxplot looks like:

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22 Wiederholungssendung A: It produces only 5% false positives B: It produces less true negatives D: It produces less false negatives A t-Test at a 5% type I error level should be preferred over the Offenbach Oracle because C: It does not make any assumption about the null distribution

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23 Wiederholungssendung 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 A t-Test at a 5% type I error level should be preferred over the Offenbach Oracle because

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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] C: A = (,-10] [10, ) D: A = (,-5] [5, ) B: A = [-5,5]

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25 Wiederholungssendung A: A = [-10,10] C: A = (,-10] [10, ) D: A = (,-5] [5, ) B: A = [-5,5] 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:

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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

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27 Wiederholungssendung 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 A two-group t-test at a significance level of α=1% yields a p-value of p=0.011. One can conclude that

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28 Wiederholungssendung A two-sided (symmetrical) test at a significance level of α=5% yields a p- value 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

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29 Wiederholungssendung 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 A two-sided (symmetrical) test at a significance level of α=5% yields a p- value of p=0.002. One can conclude that

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30 Congratulations!

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©Brooks/Cole, 2001 Chapter 12 Derived Types-- Enumerated, Structure and Union.

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