14.11: Glossary
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\newcommand{\avec}{\mathbf a} \newcommand{\bvec}{\mathbf b} \newcommand{\cvec}{\mathbf c} \newcommand{\dvec}{\mathbf d} \newcommand{\dtil}{\widetilde{\mathbf d}} \newcommand{\evec}{\mathbf e} \newcommand{\fvec}{\mathbf f} \newcommand{\nvec}{\mathbf n} \newcommand{\pvec}{\mathbf p} \newcommand{\qvec}{\mathbf q} \newcommand{\svec}{\mathbf s} \newcommand{\tvec}{\mathbf t} \newcommand{\uvec}{\mathbf u} \newcommand{\vvec}{\mathbf v} \newcommand{\wvec}{\mathbf w} \newcommand{\xvec}{\mathbf x} \newcommand{\yvec}{\mathbf y} \newcommand{\zvec}{\mathbf z} \newcommand{\rvec}{\mathbf r} \newcommand{\mvec}{\mathbf m} \newcommand{\zerovec}{\mathbf 0} \newcommand{\onevec}{\mathbf 1} \newcommand{\real}{\mathbb R} \newcommand{\twovec}[2]{\left[\begin{array}{r}#1 \\ #2 \end{array}\right]} \newcommand{\ctwovec}[2]{\left[\begin{array}{c}#1 \\ #2 \end{array}\right]} \newcommand{\threevec}[3]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \end{array}\right]} \newcommand{\cthreevec}[3]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \end{array}\right]} \newcommand{\fourvec}[4]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]} \newcommand{\cfourvec}[4]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]} \newcommand{\fivevec}[5]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]} \newcommand{\cfivevec}[5]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]} \newcommand{\mattwo}[4]{\left[\begin{array}{rr}#1 \amp #2 \\ #3 \amp #4 \\ \end{array}\right]} \newcommand{\laspan}[1]{\text{Span}\{#1\}} \newcommand{\bcal}{\cal B} \newcommand{\ccal}{\cal C} \newcommand{\scal}{\cal S} \newcommand{\wcal}{\cal W} \newcommand{\ecal}{\cal E} \newcommand{\coords}[2]{\left\{#1\right\}_{#2}} \newcommand{\gray}[1]{\color{gray}{#1}} \newcommand{\lgray}[1]{\color{lightgray}{#1}} \newcommand{\rank}{\operatorname{rank}} \newcommand{\row}{\text{Row}} \newcommand{\col}{\text{Col}} \renewcommand{\row}{\text{Row}} \newcommand{\nul}{\text{Nul}} \newcommand{\var}{\text{Var}} \newcommand{\corr}{\text{corr}} \newcommand{\len}[1]{\left|#1\right|} \newcommand{\bbar}{\overline{\bvec}} \newcommand{\bhat}{\widehat{\bvec}} \newcommand{\bperp}{\bvec^\perp} \newcommand{\xhat}{\widehat{\xvec}} \newcommand{\vhat}{\widehat{\vvec}} \newcommand{\uhat}{\widehat{\uvec}} \newcommand{\what}{\widehat{\wvec}} \newcommand{\Sighat}{\widehat{\Sigma}} \newcommand{\lt}{<} \newcommand{\gt}{>} \newcommand{\amp}{&} \definecolor{fillinmathshade}{gray}{0.9}causal claim A claim that asserts or denies the existence of a causal connection between two things, such as events, people, states, or between two types of things. A causal claim indicates that the connection is more than a mere accidental one. The standard form of a causal claim is: C causes E, where C is the cause and E is the effect. A causal claim is also called a cause-effect claim or a causal statement.
causal generalization A generalization that makes a causal claim. Causal generalizations assert causal connections between kinds of things rather than between specific things. The standard form is: (All, most, many) events of kind C cause events of kind E.
causal indicator A term that signals the presence of a causal claim. Examples: produces, cures, makes, triggers.
cause-effect claim A causal claim.
contributing cause One among many causes. The contributing cause that is most important for our present purposes we call the cause. A contributing cause is also called a contributing factor or partial cause.
control group In a controlled experiment, the group that does not receive the cause that is suspected of leading to the effect of interest.
correlation An association. Finding a correlation between two variables A and B is a clue that there may be some causal story to uncover, such as that A is causing B. Characteristics A and B are correlated if the percentages of A's among the B's is not the same as the percentages of A’s among the not-B's.
determinate cause A cause that will make its effect happen every time under known proper conditions.
directly proportional A perfect positive straight-line correlation between two variables.
experimental group In a controlled experiment, the group that receives the suspected cause of the effect being studied. Sometimes called the “treatment group.”
inversely proportional Characteristic of a perfect negative straight-line correlation between two variables.
negative correlation A relationship that exists when variable A tends to increase when B decreases, and vice versa. Characteristic A is negatively correlated with characteristic B in a given population whenever the percentage As among the Bs is less than the percentage of As among the not-Bs.
no correlation A lack of relation between two variables. Characteristics A and B are uncorrelated if the percentages of A's among the B's is the same as among the not-B's.
perfect correlation A relationship that exists when two variables always change together. That is, both may increase together or both may decrease together.
positive correlation A relationship between A and B that exists when variable A tends to increase when B increases and vice versa. Characteristic A is positively correlated with characteristic B in a given population whenever the percentage of A's among the B's is greater than the percentage A's among the not-B's.
post hoc fallacy The mistake of supposing that A caused B when the only evidence is that A is followed by B a few times.
probable cause A cause that will make the effect happen occasionally. When a probable cause occurs, the effect is probable but not certain.
specific causal claim A causal claim that asserts a specific claim rather than a general claim.
spurious association An association between A and B that results not because A is causing B or B is causing A but instead because some lurking factor C is causing A and B to be associated.
strength of the correlation A measure of how well two things are correlated. As a rule of thumb, the strength of the correlation between characteristics A and B is proportional to the difference between the percentage of B's that are A and the percentage of B's that are not-A.
treatment group The experimental group in an experiment involving treatment with a drug.
uncorrelated A lack of correlation between two variables.