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19 Cards in this Set

  • Front
  • Back
In statistics, a generic quality is called a
Variable
In statistics, specific qualities are called
values of a variable
A statement that gives the actual number of Ss that are P
An absolute frequency
A statement that gives the proportion of Ss that are P
A relative frequency
The X that lies in the middle of all the Xs, so that the equal number of Xs are higher and lower.
The median
Sum of the values of each S and then divide by the number of Ss
Arithmetic mean
The total number of things in a class S or the sum of their values on a variable.
Total
The number or sum of Ss per unit of some other class T
Ratio
The number or proportion of Ss that have some property P
Frequency, F=1/F
The proportion of Ss that have each of the values (P, Q, R, etc.) on some variable, qualitative or quantitative.
Distribution
The central value (either the mean or the median) of the Ss on some quantitative variable.
Average
General method of statisticians
Ransom sampling: the reason is that if we choose our sample randomly, then every member of the population has an equal chance of being included in the sample.
Important random sampling implications
1. There is always a specific margin of error attached to the conclusion we draw about the population.
2. the margin of error depends on the size of the sample. The larger the sample, the smaller the margin of error, and vice versa.
3. We should be aware that even when we take the margin of error into account, we are still only dealing with probabilities.
When statistical methods are used to support a causal generalization that factor A affects E, the chief questions to ask about the internal validity of the inference are:
1. Confounding variables: Were there any variables, other than the ones being tested, that may have been responsible for E?
2. Direction of causality: Is it clear whether A is affecting E or E affecting A?
The chief questions to ask about external validity are:
1. Extrapolation: is the claim that A affects E being extended beyond the class of A's or Es, or extrapolated beyond the range of the variables that were tested?
2. Proxy variables: When a causal factor or an effect cannot be studied directly, and other variables are studied as their proxies, how reasonable is it to assume a connection between the observed variable and the variation of interest?
That which is to be explained
Explanandum
Rules of adequacy
1. The inference from hypothesis to explanandum should have a high degree of logical strength.
2. The explanation should be complete. It should explain all significant aspects of the explanandum.
3. The explanation should be informative: The hypothesis should state the fundamental cause or reason for the explanadum.
One hypothesis is more plausible than another if it is
More consistent with the rest of our knowledge and if it is simpler.
Testing an hypothesis indirectly
1. Derive consequences from the hypothesis and then see whether the consequences are true.
2. If one or more of the consequences are false, reject the hypothesis unless it would be simpler or more consistent with other knowledge to reject an auxiliary hypothesis.
3. If a number of consequences are true, the hypothesis is equally consistent wit the same evidence and is simple.