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Test your basic knowledge |
CLEP General Mathematics: Probability And Statistics
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Subjects
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clep
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math
Instructions:
Answer 50 questions in 15 minutes.
If you are not ready to take this test, you can
study here
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Match each statement with the correct term.
Don't refresh. All questions and answers are randomly picked and ordered every time you load a test.
This is a study tool. The 3 wrong answers for each question are randomly chosen from answers to other questions. So, you might find at times the answers obvious, but you will see it re-enforces your understanding as you take the test each time.
1. Many statistical methods seek to minimize the mean-squared error - and these are called
Reliable measure
methods of least squares
The variance of a random variable
Joint distribution
2. The probability of the observed value or something more extreme under the assumption that the null hypothesis is true.
Observational study
P-value
Law of Parsimony
Posterior probability
3. Is the probability of an event - ignoring any information about other events. The marginal probability of A is written P(A). Contrast with conditional probability.
hypothesis
Marginal probability
Cumulative distribution functions
Statistical adjustment
4. Long-term upward or downward movement over time.
Inferential
Variable
Trend
P-value
5. In Bayesian inference - this represents prior beliefs or other information that is available before new data or observations are taken into account.
Prior probability
Simple random sample
categorical variables
Beta value
6. A subjective estimate of probability.
Skewness
Placebo effect
Credence
A data point
7. Is a function that gives the probability of all elements in a given space: see List of probability distributions
A probability distribution
Probability and statistics
Correlation coefficient
The average - or arithmetic mean
8. Can refer either to a sample not being representative of the population - or to the difference between the expected value of an estimator and the true value.
Step 2 of a statistical experiment
Bias
Simple random sample
s-algebras
9. Where the null hypothesis is falsely rejected giving a 'false positive'.
Marginal distribution
Variability
Type I errors
the population mean
10. Is the probability of two events occurring together. The joint probability of A and B is written P(A and B) or P(A - B).
Correlation
Simpson's Paradox
Joint probability
Beta value
11. The probability of correctly detecting a false null hypothesis.
Observational study
Power of a test
Reliable measure
The sample space
12. Have no meaningful rank order among values.
Nominal measurements
Experimental and observational studies
Sample space
Type I errors & Type II errors
13. Changes over time that show a regular periodicity in the data where regular means over a fixed interval; the time between repetitions is called the period.
Seasonal effect
applied statistics
The Expected value
Reliable measure
14. A scale that represents an ordinal scale such as looks on a scale from 1 to 10.
Beta value
Binomial experiment
Likert scale
An estimate of a parameter
15. A variable describes an individual by placing the individual into a category or a group.
That value is the median value
Individual
Confounded variables
Qualitative variable
16. Is denoted by - pronounced 'x bar'.
The standard deviation
nominal - ordinal - interval - and ratio
Alpha value (Level of Significance)
The arithmetic mean of a set of numbers x1 - x2 - ... - xn
17. The result of a Bayesian analysis that encapsulates the combination of prior beliefs or information with observed data
The average - or arithmetic mean
Posterior probability
Coefficient of determination
Probability
18. The errors - or difference between the estimated response y^i and the actual measured response yi - collectively
the sample mean - the sample variance s2 - the sample correlation coefficient r - the sample cumulants kr.
Statistics
Residuals
Binomial experiment
19. Failing to reject a false null hypothesis.
Type 2 Error
the sample mean - the sample variance s2 - the sample correlation coefficient r - the sample cumulants kr.
Ratio measurements
A probability density function
20. Are usually written with upper case calligraphic (e.g. F for the set of sets on which we define the probability P)
Ratio measurements
The median value
s-algebras
Law of Large Numbers
21. Are simply two different terms for the same thing. Add the given values
The arithmetic mean of a set of numbers x1 - x2 - ... - xn
The standard deviation
the population mean
Average and arithmetic mean
22. Error also refers to the extent to which individual observations in a sample differ from a central value - such as
the sample or population mean
Prior probability
applied statistics
Marginal probability
23. Are two related but separate academic disciplines. Statistical analysis often uses probability distributions - and the two topics are often studied together. However - probability theory contains much that is of mostly of mathematical interest and no
Parameter - or 'statistical parameter'
Kurtosis
Type I errors
Probability and statistics
24. ?
Variability
the population correlation
Independent Selection
Individual
25. A numerical measure that describes an aspect of a sample.
Statistic
Power of a test
A Statistical parameter
Joint distribution
26. Samples are drawn from two different populations such that the sample data drawn from one population is completely unrelated to the selection of sample data from the other population.
Conditional probability
Greek letters
Statistic
Independent Selection
27. A sample selected in such a way that each individual is equally likely to be selected as well as any group of size n is equally likely to be selected.
A Probability measure
Mutual independence
covariance of X and Y
Simple random sample
28. The collection of all possible outcomes in an experiment.
A probability distribution
Sample space
Independence or Statistical independence
Binary data
29. Rejecting a true null hypothesis.
the population cumulants
Step 3 of a statistical experiment
Type 1 Error
Type II errors
30. Uses patterns in the sample data to draw inferences about the population represented - accounting for randomness. These inferences may take the form of: answering yes/no questions about the data (hypothesis testing) - estimating numerical characteris
A statistic
Statistical inference
Inferential statistics
A probability density function
31. Statistics involve methods of using information from a sample to draw conclusions regarding the population.
Greek letters
Inferential
Law of Parsimony
Probability
32. Is the result of applying a statistical algorithm to a data set. It can also be described as an observable random variable.
Valid measure
the population variance
Placebo effect
A statistic
33. Is a subset of the sample space - to which a probability can be assigned. For example - on rolling a die - 'getting a five or a six' is an event (with a probability of one third if the die is fair).
Statistic
Power of a test
Type II errors
An event
34. Consists of a number of independent trials repeated under identical conditions. On each trial - there are two possible outcomes.
Binomial experiment
Parameter
Interval measurements
Valid measure
35. Is defined as the expected value of random variable (X -
A data point
nominal - ordinal - interval - and ratio
Prior probability
The Covariance between two random variables X and Y - with expected values E(X) =
36. The objects described by a set of data: person (animal) - place - and - thing. (SUBJECTS)
Individual
Power of a test
A data set
Kurtosis
37. Where the null hypothesis fails to be rejected and an actual difference between populations is missed giving a 'false negative'.
Type II errors
nominal - ordinal - interval - and ratio
Simple random sample
Beta value
38. Is the length of the smallest interval which contains all the data.
The Range
Sample space
Posterior probability
Kurtosis
39. Working from a null hypothesis two basic forms of error are recognized:
Sampling Distribution
A data set
hypothesis
Type I errors & Type II errors
40. (or multivariate random variable) is a vector whose components are random variables on the same probability space.
The sample space
A Random vector
Pairwise independence
A random variable
41. Is a measure of the 'peakedness' of the probability distribution of a real-valued random variable. Higher kurtosis means more of the variance is due to infrequent extreme deviations - as opposed to frequent modestly sized deviations.
Statistical adjustment
Lurking variable
Correlation
Kurtosis
42. Occurs when a subject receives no treatment - but (incorrectly) believes he or she is in fact receiving treatment and responds favorably.
hypotheses
Placebo effect
methods of least squares
Atomic event
43. Describes a characteristic of an individual to be measured or observed.
Experimental and observational studies
Prior probability
Variable
A Statistical parameter
44. Is that part of a population which is actually observed.
Independence or Statistical independence
A sample
Coefficient of determination
Prior probability
45. A numerical measure that describes an aspect of a population.
Parameter
Block
Variability
Binomial experiment
46. (also called statistical variability) is a measure of how diverse some data is. It can be expressed by the variance or the standard deviation.
Ordinal measurements
The median value
A data point
Statistical dispersion
47. Is a sample and the associated data points.
the population variance
Statistical dispersion
Type II errors
A data set
48. There are two major types of causal statistical studies: In both types of studies - the effect of differences of an independent variable (or variables) on the behavior of the dependent variable are observed. The difference between the two types lies
experimental studies and observational studies.
An event
quantitative variables
Interval measurements
49. Any specific experimental condition applied to the subjects
A likelihood function
Marginal distribution
Treatment
An estimate of a parameter
50. When info. in a contingency table is re-organized into more or less categories - relationships seen can change or reverse.
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