MA 3110 STATS CHAPTER 1 Flashcards Preview

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Flashcards in MA 3110 STATS CHAPTER 1 Deck (33):
1

DATA

Collections of observations such as measurements, genders, survey responses.

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STATISTICS

The science of planning studies and experiments, obtaining data, and then organizing, summarizing, presenting, analyzing, interpreting, and drawing conclusions based on the data.

3

POPULATION

The complete collection of all individuals (scores, people, measurements, and so on) to be studied. The collection is complete in the sense that it includes all of the individuals to be studied.

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CENSUS

The collection of data from every member of the population.

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SAMPLE

A sub-collection of members selected from a population.

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PARAMETER

A numerical measurement describing some characteristic of a population.

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STATISTIC

A numerical measurement describing some characteristic of a sample.

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DISCRETE DATA

Results when the number of possible values is either a finite number or a "countable" number. (The number of possible values is 0 or 1 or 2, and so on.

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CONTINUOUS (NUMERICAL) DATA

Result from infinitely more possible values that correspond to some continuous scale that covers a range of values without gaps, interruptions, or jumps.

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NOMINAL LEVEL OF MEASUREMENT

Is characterized by data that consist of names, labels, or categories only. The data cannot be arranged in an ordering scheme (such as low to high).

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Quantitative (Numerical) data

Consists of numbers representing counts or measurements.

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Categorical (Qualitative or attribute) data

Consist of names or labels that are not numbers representing counts or measurements.

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Ordinal level of measurement

If data can be arranged in some order, but difference (obtained by subtraction) between data values either cannot be determined or are meaningless.

14

Interval level of measurement

Is like the ordinal level with the additional property that the difference between any two data values is meaningful. However, data at this level do not have a natural zero starting point (where none of the quantity is present).

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Ratio level of measurement

Is the level with the additional property that there is also a natural zero starting point (where zero indicates that none of the quantity is present). For values at this level, differences and ratios are both meaningful.

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Voluntary response sample (or self-selected sample)

One in which the respondents themselves decide whether to be included.

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Observational study

We observe and measure specific characteristics, but we don't attempt to modify the subjects being studied.

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Experiment

We apply some treatment and then proceed to observe its effects on the subjects.

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Simple random sample

Of n subjects is selected in such a way that every possible sample of the same size n has the chance of being chosen.

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Random sample

In this sample members from the population are selected in such a way that each individual member in the population has an equal chance of being selected.

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Probability sample

Involves selecting members from a population in such a way that each member of the population has a known (but not necessarily the same) chance of being selected.

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Systematic sampling

Select some starting point and then select every Kth (such as every 50th) element in the population

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Convenience sampling

We simply use results that are very easy to get.

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Stratified sampling

We subdivide the population into at least two different subgroups (or strata) so that subjects within the same subgroup share the same characteristics (such as gender or age bracket), then we draw a sample from each subgroup or stratum.

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Cluster sampling

We first divide the population area into sections (or clusters), then randomly select some of the those clusters, and then choose all the members from those selected clusters.

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Cross-sectional study

Data are observed, measured, and collected at one point in time.

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Retrospective (Case control) study

Data are collected from the past by going back in time (through examination of records interviews, and so on.)

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Prospective (Longitudinal or cohort) study

Data are collected in the future from groups sharing common factors (called cohorts).

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Confounding

Occurs in an experiment when you are not able to distinguish among the effects of different factors.

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Sampling error

The difference between a sample result and the true population result; such an error results from chance sample fluctuations.

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Nonsampling error

Occurs when the sample data are incorrectly collected, recorded, or analyzed ( such as by selecting a biased sample, using a defective measurement instrument, or copying the data incorrectly).

32

Spreadsheet

A collection of data organized in an array of cells arranged in rows and columns, and is used to summarize, analyze, and perform calculations with the data

33

Worksheet

One page or sheet (or spreadsheet), consisting of cells arranged in an array of rows and columns. The cells contain text, numbers, or formulae.