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Stack #12211

Elementary Statistics 2004

TermDefine
Data Observations (such as measurements, genders, survey responses) that have been collected
Statistics A collection of methods for planning experiments, obtaining data and then organizing, summarizing, presenting, analyzing, interpreting, and drawing conclusions based on the data
Population The complete collection of all elements (scores, people, measurements, and so on) to be studied
Population it includes all subjects to be studied
Census The collection of data from every member of the population
Sample A subcollection of members selected from a population
Sample data must be collected in an appropriate way, such as through a process of random selection
If sample data are not collected in a appropriate way, the data may be so completely useless that no amount of statistical torturing can salvage them
TYPES OF DATA??? Parameter,Statistic ,
Parameter A numerical measurement describing some characteristic of a population.
Parameter all of those votes to be the population considered, When Lincoln was first elected, he received 39.82% of the 1,865,908 votes cast which is 29.825.
Statistic A numerical measurement describing some characteristic of a sample
Based on a sample of 877 surveyed executives, it was found that 45% of them would not hire someone with a typographical error on their job application
Quantitative data Data consists of numbers representing counts or measurement
Quantitative data weights of supermodels
Interval level of measurement Temperature, Years
Interval level of measurement Data that can be arranged in order and for which differences between data values are meaningful
Interval level shoe sizes [US vs Europe] and temperature
Interval data can be either discreet or continuous
Ratio level of measurement Data that can be arranged in order, for which differences between data values are meaningful, and there is an inherent zero starting point.
Ratio level of measurement differences and ratios are meaningful
Ratio level of measurement prices of textbooks; $50 is half of $100
Ratio level of measurement Height of students
Ratio data is continuous.
Ratio level of measurement HIGHEST LEVEL OF DATA
Ratio level of measurement can be either discreet or continuous.
Quantitative (interval and ratio) data can be further distinguished between discrete and continuous.
Discrete Data Data that results when the number of possible values is either a finite number or a “countable” numbers.
Discrete Data Counting-type things
Discrete Data number of eggs that hens lay
Continuous (numerical) Data thickness of paper; measurement of weight
Continuous (numerical) Data Results from infinitely many possible values that correspond to some continuous scale that covers a range of values without gaps, interruptions, or jumps.
Continuous (numerical) Data amounts of milk from cows
Qualitative (or categorical or attribute) data Can be separated into different categories that are distinguished by some nonnumerical characteristics.
Continuous (numerical) Data The genders (male/female) of professional athletes
Nominal Level of Measurement Characterized by data that consists of names, labels, or categories only
Nominal Level of Measurement Lowest form of data. Has groups, but no ordering to the groups
Nominal Level of Measurement cannot be arranged in an ordering scheme (such as low to high)
Nominal Level of Measurement Survey responses of yes, no, and undecided
Nominal Level of Measurement Colors of cars driven by college students (red, black, blue, etc.
Ordinal Level of Measurement (Categories & groups, but with some natural order to the groups.)
Ordinal Level of Measurement Course grades – Grades of A, B, C, D, or F
Ordinal Level of Measurement Ranking cities; those ranked 1st, 2nd, 3rd, etcBut, the differences between ranks are meaningless
Money and Counting are Discrete
Temperature is Interval
Ages are usually Discrete
Man on the street samples are always convenience sampling
Misuses of Statistics self-selected surveyBad samplesSmall samplesMisleading graphsPictographsLoaded Questions
Misuses of Statistics Order of Questions
Misuses of Statistics Precise NumbersPartial picturesDeliberate Distortions
Randomness typically plays a critical role in determining which data to collect.
Observational Study Observing and measuring specific characteristics without attempting to modify the subjects being studied. (Control group)
Cross Sectional Study Data are observed, measured, and collected at one point in time.
Retrospective (or Case Control) Study Data are collected from the past by going back in time.
Prospective (or Longitudinal or Cohort) Study Data are collected in the future from groups (called cohorts) sharing common factors.
Experimental Apply some treatment and then observe its effects on the subjects. (Experimental group.) Doing something to affect what happens.
Experimental Key Elements Control, Replication, Randomization
control Effects of variables through: blinding, blocks, completely randomized, experimental design, rigorously controlled experimental design
Confounding Occurs in an experiment when the experimenter is not able to distinguish between the effects of different factors.
Blinding Subject doesn't know if he or she is receiving a treatment or placebo
Double-blind Neither the subject nor the experimenter knows whether treatment or placebo is being administered
Blocks Groups of subjects with similar characteristics
Completely Randomized Experimental Design Subjects are put into blocks through a process of random selection
Rigorously Controlled Design Subjects are very carefully chosen so that those in each block are similar in the ways that are important to the experiment.
Random Sample Selection so that each has an equal chance of being selected
Simple Random Sample of size n
Systematic Sampling Select some starting point and then select every Kth element in the population
systematic sampling 7th person of a group of 10; i.e., 7, 17, 27, 37, etc., OR every 7th person i.e., 7, 14, 21, 28, etc
Convenience Sampling Use results that are easy to get, choosing the first 10 people who get off work
Stratified Sampling Subdivide the population into at least two different subgroups that share the same characteristics, then draw a sample from each subgroup (or stratum
Cluster Sampling Divide the population into sections (or clusters); randomly select some of those clusters; choose all members from selected clusters
Sampling Error The difference between a sample result and the true population result; such an error results from chance sample fluctuations
Nonsampling Error Sample data that are incorrectly collected, recorded, or analyzed (such as by selecting a biased sample, using a defective instrument, or copying the data incorrectly
Created by: mcb
 

 



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