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17 Cards in this Set

  • Front
  • Back

What is statistics?

  • Field of study that deals with data.
  • Includes all aspects of analysis including collection, organization, and interpretation of data.

Why do we need Statistical Theory?

Because we rely on data to make decisions and draw conclusions.

What fields/applications use statistics?

  • health studies (medicine/dentistry)
  • psychology
  • social sciences
  • clinical trials/drug tests (medicine)
  • political polling (political science)
  • market research (economics/business)
  • forecasting/predictions (all fields)
  • engineering

Group of individuals we want to describe?

Population or target population

What are the characteristics recorded for each individual case called?

Variables

What are summaries of the population called?

Parameters

How much could a U of A CompSci grad expect to earn five years after graduation?

Population: U of A CompSci grads


Variable: salary


Parameter: The average salary of CompSci grads five years after graduation

Is a new migraine drug more effective than an existing drug?

Population: migraine sufferers


Variable(s): measure of pain relief, whether or not drug worked in a particular time frame


Parameters: some measure for the difference in average pain relief between the two drugs, the difference in the probability of drugs working in a particular time frame

What proportion of voters will vote for a particular political candidate?

Population: eligible voters


Variable: whether or not a voter will vote for this candidate


Parameter: The proportion of voters that will vote for this candidate

How do we find the value of a parameter?

  • We need to observe each individual in the population
  • This is often impossible, so we "sample" information from a smaller subset of the population

Statistical Inference?

The theory of generalizing a relatively small amount of information from a small group (called a sample) to a much larger group (the population).

Population?

The set of objects or individuals in which we are interested

Parameter?

A number that describes a characteristic of the population (often unknown)

Sample?

A subset of individuals from a population

Statistic

  • Number that describes a characteristic of the sample.
  • Calculations made from data

What are data?

  • Values with a context
  • numbers, record names, or other labels

Process of making a data-driven decision?

  1. State the question!
  2. Decide how to collect data and which statistical methods need to be applied to answer question/make decision.
  3. Collect the data --> Draw a sample from the population of interest
  4. Describe/summarize the data. Find statistics.
  5. Use appropriate statistical tools to find answer to question --> Generalize the finding from sample to the entire population (if possible)