STAT Ch 1 Flashcards

0
Q

Population

A

a well-defined collection of objects

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1
Q

Data

A

collections of facts

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2
Q

Census

A

When desired information is available for all objects in the population

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3
Q

Sample

A

a subset of the population

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4
Q

Variable

A

any characteristic whose value may change from one object to another

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5
Q

univariate data set

A

consists of observations on a single variable. For example, we might determine the type of transmission, automatic (A) or manual (M), on each of ten automobiles recently purchased at a certain dealership, resulting in the categorical data set: M A A A M A A M A A

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6
Q

bivariate data

A

when observations are made on each of two variables

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7
Q

Multivariate data

A

when observations are made on more than one variable

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8
Q

descriptive statistics

A

summarizing and describing important features of the data e.g. A graph or a mean

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9
Q

Inferential statistics

A

Techniques for generalizing from a sample to a population

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10
Q

hypothetical population

A

the population as consisting of all possible data that might be made under similar experimental conditions

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11
Q

confidence interval or interval estimate

A

Estimate of the population mean

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12
Q

lower prediction bound

A

Estimate of a single data point

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13
Q

The relationship between probability and inferential statistics

A

probability reasons from the population to the sample (deductive reasoning), whereas inferential statistics reasons from the sample to the population (inductive reasoning)

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14
Q

Enumerative studies

A

interest is focused on a finite, identifiable, unchanging collection of individuals or objects that make up a population

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15
Q

Sampling frame

A

a listing of the individuals or objects to be sampled

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16
Q

Analytic study

A

A study that is not enumerative in nature

17
Q

simple random sample

A

This is a sample for which any particular subset of the specified size (e.g., a sample of size 100) has the same chance of being selected

18
Q

stratified sampling

A

entails separating the population units into nonoverlapping groups and taking a sample from each one

19
Q

Sample size

A

The number of observations in a single sample, often denoted by “n”

20
Q

Truncating

A

To make the numbers in a set all shorter by the same amount

21
Q

Dot plot

A

an attractive summary of numerical data when the data set is reasonably small or there are relatively few distinct data values. Each observation is represented by a dot above the corresponding location on a horizontal measurement scale. Whena value occurs more than once, there is a dot for each occurrence, and these dots are stacked vertically. As with a stem-and-leaf display, a dotplot gives information about location, spread, extremes, and gaps.

22
Q

Discrete

A

A numerical variable is called this if its set of possible values either is finite or else can be listed in an infinite sequence

23
Q

Continuous

A

A numerical variable is called this if its possible values consist of an entire interval on the number line.

24
Frequency
the number of times that a value occurs in the data set
25
Relative frequency
the fraction or proportion of times the value occurs ( number of times the value occurs/ the number of observations in the data set)
26
Frequency distribution
a tabulation of the frequencies and/or relative frequencies
27
unimodal histogram
A histogram that rises to a single peak and then declines
28
bimodal histogram
A histogram that has two different peaks
29
multimodal
A histogram with more than two peaks
30
When is a histogram symmetric?
if the left half is a mirror image of the right half
31
When is a unimodal histogram positively skewed?
if the right or upper tail is stretched out compared with the left or lower tail
32
When is a unimodal histogram negatively skewed?
if the left or lower tail is stretched out compared with the right or upper tail
33
qualitative
Categorical
35
Mean
The arithmetic average of the set. Often referred to as the sample mean and represented by x̄.
35
point estimate
a single number that is our “best” guess
36
Population mean
The average of all values in the population. Denoted as μ. When there are N values in the population (a finite population), then μ= sum of the N population values/N.
38
median
the middle value once the observations are ordered from smallest to largest. Sample median is denoted as x-tilde
38
Range
the difference between the largest and smallest sample values
39
population median
a middle value in the population. Denoted as μ-tilde
41
deviations from the mean
Obtained by subtracting x̄ from each of the n sample observations. The average deviation is always zero.
42
sample variance