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The article "Application of Methods for Central Statistical Monitoring in Clinical Trials" (Clinical Trials, 2013: 783-806) made a strong case for central statistical monitoring as an alternative to more expensive onsite data verification. It suggested various methods for identifying data characteristics such as outliers, incorrect dates, anomalous data patterns, unusual correlation structures, and digit preference. Exercise 3.21 of this book introduced Benford's Law, which gives a probability model for the first significant digit in many large data sets: The cited article gave the following frequencies for the first significant digit in a variety of variables whose values were determined in one particular clinical trial:
Carry out a test of hypotheses to see whether or not these frequencies are consistent with Benford's Law (the cited article gave P-value information).
Exercise 3.21 An ecologist wishes to mark off a circular sampling region having radius 10 m. However, the radius of the
resulting region is actually a random variable R with pdf
Samples t test and one that would require a dependent samples t test. And explain what they mean and why they are independent or dependent samples.
which of the following correlations expresses the strongest relationship?a .50b .80c .00d - .35e -
Create a frequency table for the total number of people that prefer each type of music:
one of your companys products a flux capacitor is known to have an exponential failure time distribution with a mean of
Milk cartons are advertised to contain one litre of milk. From a random sample of 18 one-litre cartons whose contents were accurately measured by the South African Bureau of Standards (SABS), it was found that the average fill was 0.981 l with a s..
The data collected was for each car for each type of fuel. Performance was measured in miles per gallon. Perform an ANOVA test and state the results.
The city of Vancouver Office of Emergency Management reported that 911 operators receive an average of 7.2 calls per hour. Assume that the number of 911 calls follows Poisson distribution
Where S, A, and R are measured in dollars per week. Vanguard's marketing director is comfortable using parameter estimates that are statistically significant at the 10% level or better.
For good results, you probably need to work with 20 or more securities. Try to include in your model realistic-type sector, industry, and upper bound constraints, but don't make them too tight.
Diamonds. Use the data in Table 28.4 (page 28-35) to fit the multiple regression model with two explanatory variables, Carat and Depth, to predict the Total Price of diamonds. Don't forget to include the interaction term in your model.
Suppose that the bivariate data (x, y) represent the amount of hours per week worked by part-time employees in a small business (x) and the amount of a weekly pay check (y) issued to the employee. These records were summarized, and the summaries are ..
a study is conducted to compare three new appetite suppressants a b and c to a placebo in terms of their effects on
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