Statistics

Pediatric Critical Care Review

Hasan   Pappas

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1.         When conducting research, Type 1 errors (a-error) occur for all of the following reasons except:

 

A.                 Small sample size

B.                 Too many analyses

C.                 Analyzing data too often and stopping the study when a significant difference is found

D.                 Too few subgroups

E.                  Too many variables

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2.         A study was conducted to evaluate the efficacy of a new medication in lowering the pulmonary hypertension that is seen post-operatively after repair of congenital heart defects compared to the “traditional approach”.  The a-error was set at 0.05, b-error at 0.2, and the authors were looking at a 25% improvement.  At the conclusion of the study, no difference was found between the new drug and the traditional therapy.  True statement(s) regarding this study include:

 

A.                 There is a 50% chance that the null hypothesis was accepted, when there was a difference

B.                 The power of the study is 20%

C.                 The P-value was set at 0.5 in this study, and there is an 80% chance that an improvement in response to the new drug was missed

D.                 There is an 80% chance that the authors did not miss a 25% difference between the two treatments

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3.         The number of groups is not a factor in the selection of a statistical test in which of the following type of data:

 

A.                 Nominal data

B.                 Ordinal data

C.                 Continuous data

D.                 None of the above

E.                  All of the above

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4.         True statements regarding correlation include all of the following except:

 

A.                 How strong the correlation is, depends on the slope of the line

B.                 With a larger sample size, one is more likely to get statistical significance with the same correlation co-efficient (r)

C.                 For ordinal (ranked) data, Spearman’s rho or Kendall’s tau are used instead of Pearson r for continuous data

D.                 When one is interested in correlations using nominal data, such correlations are obtained with odds ratio or relative risk determination

E.                  Correlation does not make judgments as to whether one variable affects or predicts another

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5.         A study is being conducted to evaluate the effect of the presence of an attending physician looking over the shoulder of the fellow while he is performing a procedure, in terms of complications related to the procedure.  At the end of the study, relative risks are calculated.  True statements include:

 

A.                 A relative risk value of 0.35 indicates that the presence of an attending is associated with lower complications

B.                 A relative risk value of 1  means that it doesn’t make any difference

C.                 A relative risk value of 5 indicates that the presence of the attending increased the risk of complication five times

D.                 None of the above

E.                  A, B and C

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6.         A study is being conducted to evaluate the following:  Does dressing change by the nurse in the PICU increase the risk of wound infection?  1,000 children are enrolled.  Of the dressings changed by the nurse, 75 did develop wound infection while 25 did not.  Of the dressings changed by the primary surgical attending, 125 developed wound infection while 775 did not.  The relative risk value of the nurse changing the surgical dressing in this case is closest to:

 

A.                 1

B.                 5

C.                 10

D.                 .035

E.                  7

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7.         True statements pertaining to standard error of the mean include all of the following except:

 

A.                 Standard error of the mean measures the dispersion of a number of sample means around the true population mean

B.                 Standard error of the mean represents the precision with which a sample mean estimates the true population mean

C.                 Standard error of the mean is usually larger than standard deviation

D.                 There is a 95% chance that the true mean of the population from which the samples were obtained lies within ± 1.96 standard error of the mean of the sample mean

E.                  When you say “with 95% confidence, 86% ± 5% of the people find this journal useful,” the ± 5% represents ± 1.96 standard error of the mean

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A.                 Standard deviation

B.                 Standard error of the mean

C.                 Mean

D.                 a-error

E.                  b-error

 

8.         ____    Quantifies the variability (dispension) of the individual values from the mean within a sample

            ____    Provides the confidence interval of the population mean

            ____    Should not be used as a measure of central tendency for ranked data

            ____    Wide variability of the data is associated with this

            ____    When conducting a research project, the more variables we look at, the greater the chance of producing the item listed above

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9.         Lidocaine is being infused at 20 mg/kg/min into a patient who has a volume of distribution for lidocaine of 1.1 L/kg.  If the half-life of lidocaine is 100 minutes at a steady state, the lidocaine concentration would be:

 

A.                 1.6 mg/ml

B.                 2.6 mg/ml

C.                 0.6 mg/ml

D.                 8.6 mg/ml

E.                  None of the above

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10.       In the above question, without a bolus, the steady state will be reached in:

 

A.                 6.7 hours

B.                 5.7 hours

C.                 8.7 hours

D.                 3.7 hours

E.                  None of the above

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11.       It is necessary to compare data from two groups by non-parametric tests when:

 

A.                There are fewer than 10 data points in each group

B.                 The two groups are not of equal size

C.                The data are expressed as ranks

D.                The data are expressed as ratios

E.                 The two groups have different standard error of the mean

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Answers

1.             D                             Type I or a-error is more likely to occur when you have too many variables rather than too few subgroups.  (Fuhrman BP, et al.  Pediatric Critical Care, 2nd Edition; pp 172-174)

 

2.             D                             The power of a study is equal to 1 – b-error which was set in this study at 0.2, and therefore the power of this study would 0.8 or 80%.  The P-value of this study was set at 0.05, and there is only a 20% chance that the authors actually missed an improvement due to the new drug.  There is an 80% chance that an improvement due to the new drug was not missed.  (Fuhrman BP, et al.  Pediatric Critical Care, 2nd Edition; pp 172-174)

 

3.             A                             Groups are not a factor for nominal data.  (Fuhrman BP, et al.  Pediatric Critical Care, 2nd Edition; pp 169-170)

 

4.             A                             In evaluating how strong the correlation is, it is more dependent on how tightly all the points are scattered around the slope line.  Correlation does not make judgments as to how one variable affects or predicts another.  A regression co-efficient permits prediction.  (Hermansen M.  Biostatistics:  Some Basic Concepts.  Caducens Medical Publishers, Inc.; p 56)

 

5.             E                              Relative Risk (RR) refers to the risk of having complications in the presence of a risk factor compared to the absence of the factor.  The range of RR is from 0 to infinity.  A RR of 1-0 indicates that there is no difference in risk.  Calculation of RR is explained in the answer to Question #6 below.  (Hermansen M.  Biostatistics:  Some Basic Concepts.  Caducens Medical Publishers, Inc.; pp 164-166)

 

6.             B

                                                                Infection

                                                  Present                   Absent                 Total

Risk Factor

Nurse                 Present             A = 75                   B = 25                 100

                           Absent             C = 125                 D = 775               900

                            Total                 200                        800                   1,000

Relative Risk         =              Risk of infection when risk factor present

                                              Risk of infection when risk factor absent        

 

                            =              A/A+B                   =              75/100

                                            C/C+D                                   125/900

 

                                                                            =         5.4

                                                (Hermansen M.  Biostatistics:  Some Basic Concepts.  Caducens Medical Publishers, Inc.; pp 164-166)

 

7.             C                             Standard error of the mean is a descriptive statistic, and standard error of the mean helps determine the range in which the population mean exists.  Standard error of the mean equals standard deviation divided by the square root of the number of variables, and therefore, standard error of the mean is always smaller than standard deviation.

                                                SEM       =                 S.D.  

                                                                                Ö n

                                                (Hermansen M.  Biostatistics:  Some Basic Concepts.  Caducens Medical Publishers, Inc.; pp 38-41)

 

8.             A, B, C, E, D          Self-explanatory. (Hermansen M.  Biostatistics:  Some Basic Concepts.  Caducens Medical Publishers, Inc.; pp 38-41)

 

9-10.        B, A      Clearance (CL)      =     Dose at Steady State (DSS)

                                                                     Concentration at Steady State (CSS)

                                                                    =      Kel ´ Volume of Distribution (Vd)

                                                    Kel           =      0.693 ¸ Half life

                                                   CSS           =      20 ´ 100

                                                                            0.693 ´ 1.1

                                                                    =      2.6 mg/ml

                              It takes four times the half-life to reach a steady state concentration.

                                                                                =              4 ´ 100

                                                                                =              6.7 hours

                                                (Kearns GL.  Clinical pharmakokinetics in infants and children.  Clin Pharmacol, 1988; Vol. 7:198)

 

11.           C         Parametric methods of statistical analysis use distribution assumptions (i.e., normal distribution) of data, and the distribution is described by mean and standard deviation.  Non-parametric methods are also called distribution-free.  These methods are based on analysis of ranks rather than actual data, and therefore, they are sometimes called rank methods.  Skewed data are commonly analyzed by non-parametric methods.  Methods using ranks are especially suitable for data which are scores rather than measurements.  Examples include:  Apgar scores and stages of disease.  (Altman DG.  Practical Statistics For Medical Research.  Chapman & Hall 1991, pp 171-173)

 

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