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4 Probability and Statistical Reasoning Free Online FlashCards

Study 4 Probability and Statistical Reasoning with 12 free online flashcards. Review key terms, definitions, and concepts with this interactive flashcard deck.

12 cards
01
Front

What does conditional probability P(A∣B)P(A \mid B) mean?

Back

It is the chance of event AA given that event BB has occurred. The direction matters: P(A∣B)P(A \mid B) is generally not equal to P(B∣A)P(B \mid A).

02
Front

How does Bayes’ rule update a prior probability?

Back

Bayes’ rule updates the prior probability of AA using evidence BB: P(A∣B)=P(B∣A)P(A)P(B)P(A \mid B)=\frac{P(B \mid A)P(A)}{P(B)}.

03
Front

What is a base rate?

Back

A base rate is how frequent an outcome is in the relevant population before considering a particular piece of evidence.

04
Front

Why convert probabilities into natural frequencies?

Back

Convert percentages into counts out of a group, such as 1,0001{,}000 or 10,00010{,}000 people. This makes competing possibilities easier to compare.

05
Front

How do population, sample, parameter, and statistic differ?

Back

A population is the full group of interest; a sample is the part observed. A parameter describes a population, while a statistic summarizes a sample.

06
Front

What defines a simple random sample?

Back

Selection follows a known random procedure. In a simple random sample, every population member has the same chance of selection.

07
Front

What is sampling variability?

Back

Sampling variability is the chance difference between a sample statistic and the population parameter. Larger, well-designed probability samples generally reduce it.

08
Front

What is sampling bias?

Back

Sampling bias occurs when selection or response systematically overrepresents or underrepresents groups in the population.

09
Front

What is regression to the mean?

Back

It is the tendency for an unusually high or low observation to be followed, on average, by a less extreme one when repeated measurements are imperfectly correlated.

10
Front

Why can improvement after an extreme result fail to prove an intervention worked?

Back

An extreme result may partly reflect temporary variation. A later result can be less extreme without a personal change or an effective treatment; a suitable comparison group helps assess intervention effects.

11
Front

What is the availability heuristic?

Back

Availability is judging an event as common because examples come readily to mind; a recent dramatic story can distort judgments of population-level frequency.

12
Front

What is the representativeness heuristic?

Back

Representativeness is judging likelihood by resemblance to a familiar pattern while neglecting the base rate. Fitting a stereotype does not outweigh how common each group is.