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33 notecards = 9 pages (4 cards per page)

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Chapter 1 Introduction to Statistics

front 1

Data

back 1

collections of observations

front 2

Statistics

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

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Population

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the complete collection of all individuals (scores, people, etc ...) to be studied. The collection is complete in the sense that it includes all the indidviuals to be studied

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Census

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the collection of data from every member of the population

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Sample

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is a subcollection of members selected from the population

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Statistically significant

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The likelyhood of getting these results by chance is very small

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Practical significant

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The teatment or finding might be statistically significant but common sense might suggest that the finding or treatment does not make enough of a difference to justify its use to be practical.

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Parameter

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a numerical measurement of a population

front 9

Statistic

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a numerical measure of a sample

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Quantitive data

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(numerical) consists of numbers representing counts of measurments.

front 11

Categorical data

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(qualitive or attribute) consists of names or labels that are not numbers representing counts or measurements

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Discrete Data

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results when the number of possible values is either a finite number or a countable number (1,2,3,etc)

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Continuous Data

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results from infinitely many possible values that corrospond to some continuous scale that covers a range of values without gaps, interruptions or jumps. (1.67 liters, 7.437 pounds)

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Nominal level of measurement

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is data that consists of names, labels or categores only. The data cannot be arranged in an ordering scheme (such as low to high) Ex. political party

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Ordinal level of measurement

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can be arranged in some order, but differences (obtained by subtraction) between data values either cannot be obtained or are meaningless. Ex. Rank, Grades

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Interval level of measurement

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is like the ordinal level, with the additional property that the differences between any two values is meaningful. However, data at this level do not have a natural starting point. Ex. Temperature, years

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Ratio level of measurement

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is the interval level with additional property that there is also a natural zero starting point (where sero 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

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one in which the respondents themselves decide wheather to be included.

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Observational Study

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observe and measure specific characteristics, but we do not attempt to modify the subject studied.

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Experiment

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apply treatment and then observe its effects on the subject.

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Simple random sample

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

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Random sample

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members from the population are selected in such a way that each individual member in the population has an equal chance at being selected

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Probability Sample

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involves selectin 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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Systemic sampling

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select some starting point and then select every kth (75th) element.

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Convenience sampling

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use results that are very easy to get

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Stratified sampling

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

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Cluster sampling

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first divide the population into sections 9 or clusters), then randomly select some of those clusters, and then choose all the members from those selected

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Cross

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sectional study - data are observed, measured, and collected at one point in time.

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Retrospective study

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(case-control) data are collected from the past by going back in time. (through examination of records, interviews, etc)

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Prosepctive study

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(longitudinal) data are collected in the future from groups sharing common factors (called cohorts

front 31

Confounding

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

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Sampling error

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

front 33

Nonsampling error

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occurs when the sample data are incorrectly collected, recorded, or analiyzed (such as by selecting a biased sample, using a defective measurment instrument, of copy the data incorrectly.