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Test your basic knowledge |
CLEP General Mathematics: Probability And Statistics
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Instructions:
Answer 50 questions in 15 minutes.
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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. The proportion of the explained variation by a linear regression model in the total variation.
Bias
Independent Selection
Type 1 Error
Coefficient of determination
2. Is used in 'mathematical statistics' (alternatively - 'statistical theory') to study the sampling distributions of sample statistics and - more generally - the properties of statistical procedures. The use of any statistical method is valid when the
the population correlation
The median value
Probability
applied statistics
3. Is a sample and the associated data points.
Variability
Joint distribution
A data set
Statistic
4. A measure that is relevant or appropriate as a representation of that property.
That value is the median value
The variance of a random variable
Valid measure
Binary data
5. Have both a meaningful zero value and the distances between different measurements defined; they provide the greatest flexibility in statistical methods that can be used for analyzing the data
Divide the sum by the number of values.
Simulation
Ratio measurements
Skewness
6. S^2
Descriptive
the population variance
the sample or population mean
Parameter
7. Some commonly used symbols for sample statistics
the sample mean - the sample variance s2 - the sample correlation coefficient r - the sample cumulants kr.
An experimental study
nominal - ordinal - interval - and ratio
the population mean
8. In particular - the pdf of the standard normal distribution is denoted by
A population or statistical population
hypotheses
A Random vector
f(z) - and its cdf by F(z).
9. 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
Type II errors
Alpha value (Level of Significance)
f(z) - and its cdf by F(z).
10. To find the median value of a set of numbers: Arrange the numbers in numerical order. Locate the two middle numbers in the list. Find the average of those two middle values.
That value is the median value
Dependent Selection
Type 2 Error
Mutual independence
11. Is inference about a population from a random sample drawn from it or - more generally - about a random process from its observed behavior during a finite period of time.
Statistical inference
Law of Large Numbers
f(z) - and its cdf by F(z).
Greek letters
12. Is the result of applying a statistical algorithm to a data set. It can also be described as an observable random variable.
A statistic
Simpson's Paradox
Probability density
Variability
13. Planning the research - including finding the number of replicates of the study - using the following information: preliminary estimates regarding the size of treatment effects - alternative hypotheses - and the estimated experimental variability. Co
Step 1 of a statistical experiment
Inferential statistics
Simpson's Paradox
Qualitative variable
14. Design of experiments - using blocking to reduce the influence of confounding variables - and randomized assignment of treatments to subjects to allow unbiased estimates of treatment effects and experimental error. At this stage - the experimenters a
Quantitative variable
variance of X
Independence or Statistical independence
Step 2 of a statistical experiment
15. The result of a Bayesian analysis that encapsulates the combination of prior beliefs or information with observed data
the population cumulants
Null hypothesis
Posterior probability
Greek letters
16. Is the study of the collection - organization - analysis - and interpretation of data. It deals with all aspects of this - including the planning of data collection in terms of the design of surveys and experiments.
Beta value
Block
Descriptive statistics
Statistics
17. Data are gathered and correlations between predictors and response are investigated.
Conditional distribution
Variable
observational study
A probability space
18. Samples are drawn from two different populations such that there is a matching of the first sample data drawn and a corresponding data value in the second sample data.
Lurking variable
Dependent Selection
A Probability measure
Sampling Distribution
19. To prove the guiding theory further - these predictions are tested as well - as part of the scientific method. If the inference holds true - then the descriptive statistics of the new data increase the soundness of that
Step 1 of a statistical experiment
Seasonal effect
P-value
hypothesis
20. Interpretation of statistical information in that the assumption is that whatever is proposed as a cause has no effect on the variable being measured can often involve the development of a
Correlation
Interval measurements
Null hypothesis
Type I errors
21. The objects described by a set of data: person (animal) - place - and - thing. (SUBJECTS)
An estimate of a parameter
Individual
the population variance
Inferential statistics
22. Is often denoted by placing a caret over the corresponding symbol - e.g. - pronounced 'theta hat'.
quantitative variables
hypothesis
An estimate of a parameter
A sample
23. Are simply two different terms for the same thing. Add the given values
Credence
Seasonal effect
The average - or arithmetic mean
Average and arithmetic mean
24. 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
A data point
A probability distribution
Variability
experimental studies and observational studies.
25. Given two jointly distributed random variables X and Y - the marginal distribution of X is simply the probability distribution of X ignoring information about Y.
A data set
An experimental study
Sample space
Marginal distribution
26. Working from a null hypothesis two basic forms of error are recognized:
Standard error
Probability
Type I errors & Type II errors
Particular realizations of a random variable
27. Is data that can take only two values - usually represented by 0 and 1.
Joint probability
Binary data
The median value
A data set
28. (also called statistical variability) is a measure of how diverse some data is. It can be expressed by the variance or the standard deviation.
Statistical dispersion
The standard deviation
An experimental study
Lurking variable
29. When info. in a contingency table is re-organized into more or less categories - relationships seen can change or reverse.
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30. Used to reduce bias - this measure weights the more relevant information higher than less relevant info.
observational study
A population or statistical population
Statistical adjustment
Sampling Distribution
31. Ratio and interval measurements which can be either discrete or continuous - due to their numerical nature are grouped together as
Valid measure
covariance of X and Y
P-value
quantitative variables
32. Gives the probability of events in a probability space.
Law of Large Numbers
Type II errors
Skewness
A Probability measure
33. Performing the experiment following the experimental protocol and analyzing the data following the experimental protocol. 4. Further examining the data set in secondary analyses - to suggest new hypotheses for future study. 5. Documenting and present
hypothesis
Statistical adjustment
The Range
Step 3 of a statistical experiment
34. 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
quantitative variables
experimental studies and observational studies.
An Elementary event
Inferential statistics
35. (or expectation) of a random variable is the sum of the probability of each possible outcome of the experiment multiplied by its payoff ('value'). Thus - it represents the average amount one 'expects' to win per bet if bets with identical odds are re
The Expected value
An event
the population correlation
Conditional distribution
36. Statistics involve methods of organizing - picturing - and summarizing information from samples or population.
Descriptive
Independence or Statistical independence
methods of least squares
nominal - ordinal - interval - and ratio
37. Given two jointly distributed random variables X and Y - the conditional probability distribution of Y given X (written 'Y | X') is the probability distribution of Y when X is known to be a particular value.
methods of least squares
Statistical inference
Statistics
Conditional distribution
38. The collection of all possible outcomes in an experiment.
f(z) - and its cdf by F(z).
Descriptive statistics
A data point
Sample space
39. Many statistical methods seek to minimize the mean-squared error - and these are called
methods of least squares
Greek letters
Observational study
Probability and statistics
40. A variable that has an important effect on the response variable and the relationship among the variables in a study but is not one of the explanatory variables studied either because it is unknown or not measured.
Block
The Covariance between two random variables X and Y - with expected values E(X) =
Lurking variable
Qualitative variable
41. (pdfs) and probability mass functions are denoted by lower case letters - e.g. f(x).
That is the median value
Probability density functions
Block
experimental studies and observational studies.
42. Describes a characteristic of an individual to be measured or observed.
Probability density
Particular realizations of a random variable
Binary data
Variable
43. There are four main levels of measurement used in statistics: Each of these have different degrees of usefulness in statistical research.
Ordinal measurements
Variable
nominal - ordinal - interval - and ratio
Outlier
44. Error also refers to the extent to which individual observations in a sample differ from a central value - such as
Statistical inference
the sample or population mean
Standard error
Probability
45. 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.
Individual
Statistical dispersion
Marginal probability
Inferential
46. Is a measure of the asymmetry of the probability distribution of a real-valued random variable. Roughly speaking - a distribution has positive skew (right-skewed) if the higher tail is longer and negative skew (left-skewed) if the lower tail is longe
The Covariance between two random variables X and Y - with expected values E(X) =
inferential statistics
Skewness
Lurking variable
47. Given two random variables X and Y - the joint distribution of X and Y is the probability distribution of X and Y together.
The Range
Estimator
Joint distribution
Joint probability
48. Rejecting a true null hypothesis.
the population variance
Type 1 Error
Simulation
A data point
49. Failing to reject a false null hypothesis.
The Range
Type 2 Error
Conditional probability
Marginal probability
50. Is that part of a population which is actually observed.
Type II errors
Pairwise independence
Dependent Selection
A sample