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Study these flashcards

- United-kingdom
- University of Leeds
- Mathematics
- Mathematics 1
- Phil
- Math1712 - Probability And Statistics 2

Roberto F.

• 66

cards
Population

A collection of individual/items of interest

Sample

A subset of the population which observations are available

Variable/Variate

A quantity or attribute whose value varies between individuals

Observation

Recorded value of a variate for an individual.

Data

A collection of observations

Quantitative Data

Numerical data.

Can be be continuous - within a range

Qualitative Data

Statistic

Summary Statistic

Sample Mean

Mode

Median

Robust

Range

Sample Variance

Quantile

Interquartile Range

Semi-Interquartile Range

Contingency Table

Statistical Model

I.I.D.

Parameters

Parameter Estimator

Bias

An estimator is unbiased if...

Law of Large Numbers

Indicator Function

Linear Regression

Paired Samples

Y_{i}=a+bx_{i}+ɛ_{i}

E[ɛ_{i}]=...

Correlation coefficient is approximately 1 implies...

Correlation coefficient is approximately equal -1

Residual Sum of Squares

Residuals

Standard Estimator of the Variance of a Linear Regression Model

Null Hypothesis

Z-test

Z-test - Pr(Z<a/2)=...

H_{0} is rejected iff...

Z-test - Type 1 Error

Z-test - Type 2 Error

Multiple Observations Z-test

Compare Mean of Two Populations (Unpaired)

Unpaired samples are always...

One-sided Z-test

Central Limit Theorem (Z-test)

T-test

χ^{2}-test

Gamma Function

T-distribution

Two-sided T-test

Degrees of Freedom

lim v->∞ t(v) =

Two-sample T-test

Attribute Data

Multinomial Distribution

Normal Approximation of Binomial

x^{2}-test

Goodness-of-fit chi-square test

x^{2}-test for Independance

Confidence Interval

Confidence Level

Confidence Interval Mean - Normally Distributed (Known) Data

Confidence Interval Mean - Normally Distributed (Unknown) Data

Confidence Intervals for a Proportion

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