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Statistics Vocabulary
Use to Review for AP Test
44
Mathematics
12th Grade
03/25/2008

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Term
OBSERVATIONAL STUDY
Definition
A STUDY THAT OBSERVES CHARACTERISTICS OF AN EXISTING POPULATION
Term
SIMPLE RANDOM SAMPLE
Definition
A SAMPLE SELECTED IN A WAY THAT GIVES EVERY DIFFERENT SAMPLE OF SIZE "N" AN EQUAL CHANCE OF BEING SELECTED
Term
STRATIFIED SAMPLING
Definition
DIVIDING A POPULATION INTO SUBGROUPS (STRATA) AND THEM TAKING A SEPARATE RANDOM SAMPLE FROM EACH STRATUM [THINK "SOME FROM ALL"]
Term
CLUSTER SAMPLING
Definition
DIVIDING A POPULATION INTO SUBGROUPS (CLUSTERS) AND FORMING A SAMPLE BY RANDOMLY SELECTING CLUSTERS AND INCLUDING ALL INDIVIDUALS OR OBJECTS IN THE SELECTED CLUSTERS IN THE SAMPLE [THINK "ALL FROM SOME"]
Term
SYSTEMATIC SAMPLING
Definition
A SAMPLE SELECTED FROM AN ORDERED ARRANGEMENT OF A PUPULATION BY CHOOSING A STARTING POINT AT RANDOM FROM THE FIRST "K" INDIVIDUALS ON THE LIST AND THEN SELECTING EVERY "KTH" PERSON AFTER THAT
Term
CONFOUNDING VARIABLE
Definition
A VARIABLE THAT IS RELATED BOTH TO GROUP MEMBERSHIP AND TO THE RESPONSE VARIABLE (AFFECTS THE OUTCOME OF THE EXPERIMENT/OBSERVATIONAL STUDY BUT IS NOT ACCOUNTED FOR)
Term
MEASUREMENT/RESPONSE BIAS
Definition
THE TENDENCY FOR A SAMPLE TO DIFFER FROM THE POPULATION BECAUSE THE METHOD OF OBSERVATION TENDS TO PRODUCE VALUES THAT ARE DIFFERENT FROM THE TRUE VALUE
Term
SELECTION BIAS
Definition
THE TENDENCY FOR A SAMPLE TO DIFFER FROM THE POPULATION BECAUSE OF SYSTEMATIC EXCLUSION OF SOME PART OF THE POPULATION
Term
NONRESPONSE BIAS
Definition
THE TENDENCY FOR A SAMPLE TO DIFFER FROM THE POPULATION BECAUSE MEASUREMENTS ARE NOT OBTAINED FROM ALL INDIVIDUALS SELECTED FOR INCLUSION IN THE SAMPLE
Term
EXPERIMENT
Definition
A PROCEDURE FOR INVESTIGATING THE EFFECT OF EXPERIMENTAL CONDITIONS ON A RESPONSE VARIABLE (A TREATMENT IS IMPOSED ON THE SUBJECT/OBJECT)
Term
TREATMENTS
Definition
THE EXPERIMENTAL CONDITIONS IMPOSED BY THE EXPERIMENTER
Term
EXTRANEOUS FACTOR
Definition
A VARIABLE THAT IS NOT OF INTEREST IN THE CURRENT STUDY BUT IS THOUGHT TO AFFECT THE RESPONSE VARIABLE
Term
DIRECT CONTROL
Definition
HOLDING EXTRANEOUS FACTORS CONSTANT SO THAT THEIR EFFECTS ARE NOT CONFOUNDED WITH THOSE OF THE EXPERIMENTAL CONDITIONS
Term
BLOCKING
Definition
USING EXTRANEOUS FACTORS TO CREATE EXPERIMENTAL GROUPS THAT ARE SIMILAR WITH RESPECT TO THOSE FACTORS TO FILTER OUT THEIR EFFECT
Term
RANDOMIZATION
Definition
RANDOM ASSIGNMENT OF EXPERIMENTAL UNITS TO TREATMENTS OR OF TREATMENTS TO TRIALS
Term
REPLICATION
Definition
MAKING SURE THERE IS AN ADEQUATE NUMBER OF OBSERVATIONS ON EACH EXPERIMENTAL TREATMENT
Term
PLACEBO TREATMENT
Definition
A TREATMENT THAT RESEMBLES THE OTHER TREATMENTS IN AN EXPERIMENT IN ALL APPARENT WAYS BUT THAT HAS NO ACTIVE INGREDIENTS
Term
CONTROL GROUP
Definition
A GROUP THAT RECEIVES NO TREATMENT OR ONE THAT RECEIVES A PLACEBO TREATMENT
Term
SINGLE-BLIND
Definition
AN EXPERIMENT IN WHICH THE SUBJECTS DO NOT KNOW WHICH TREATMENT THEY RECEIVED, BUT THE EXPERIMENTERS DO KNOW
Term
DOUBLE-BLIND
Definition
AN EXPERIMENT IN WHICH NEITHER THE SUBJECTS NOR THE INDIVIDUALS WHO MEASURE THE RESPONSE KNOW WHICH TREATMENT WAS RECEIVED
Term
FREQUENCY VERSUS RELATIVE FREQUENCY
Definition
FREQUENCY IS A COUNT OF HOW MANY, RELATIVE FREQUENCY IS THE PERCENTAGE
Term
SAMPLE MEAN
Definition
A MEASUREMENT OF CENTER FOUND BY THE AVERAGE OF THE DATA SAMPLED (DENOTED X-BAR)
Term
POPULATION MEAN
Definition
THE AVERAGE OF THE ENTIRE SET OF SUBJECTS OR POPULATION (DENOTED MU)
Term
GREEK SYMBOLS IN STATISTICS
Definition
ANY GREEK LETTER STANDS FOR A POPULATION PARAMETER
Term
ARABIC SYMBOLS
Definition
ANY ARABIC LETTER (THE ONES YOU ARE READING NOW)STANDS FOR A SAMPLE STATISTIC
Term
STATISTIC
Definition
COMES FROM A SAMPLE
Term
PARAMETER
Definition
COMES FROM A POPULATION
Term
MEDIAN
Definition
A MEASUREMENT OF CENTER WHERE IT IS THE MIDDLE OF THE DATA SET WHEN THE DATA IS ORDERED FROM LEAST TO GREATEST OR VICE VERSA
Term
TRIMMED MEAN
Definition
A MEASURE OF CENTER IN WHICH THE OBSERVATIONS ARE FIRST ORDERED FROM SMALLEST TO LARGEST, THEN ONE OR MORE OBSERVATIONS ARE DELETED FROM EACH END, THEN AVERAGE THE REMAINING NUMBER
Term
STANDARD DEVIATION
Definition
A MEASUREMENT OF SPREAD, IT IS THE SQUARE-ROOT OF THE VARIANCE
Term
VARIANCE
Definition
A MEASUREMENT OF SPREAD, IT IS THE STANDARD DEVIATION SQUARED
Term
IQR
Definition
THE INTERQUARTILE RANGE, FOUND BY Q3-Q1
Term
HIGH AND LOW OUTLIERS
Definition
FOUND BY TAKING Q3+(1.5)IQR
AND Q1-(1.5)IQR. ANY DATA YOU HAVE THAT IS HIGHER THAN THE FIRST OR LOWER THAN THE SECOND IS CALLED AN OUTLIER
Term
EMPIRICAL RULE
Definition
FOR DATA IN A NORMAL DISTRIBUTION: 68% OF THE DATA IS WITHIN ONE STANDARD DEVIATION OF THE MEAN, 95% WITHIN 2 STANDARD DEVIATIONS AND 99.7% WITHIN 3 STANDARD DEVIATIONS OF THE MEAN
Term
Z-SCORE
Definition
A MEASUREMENT THAT TELLS WHERE DATA LIES (IN STANDARD DEVIATION UNITS) FROM THE MEAN (X-MU)/S
Term
5-NUMBER SUMMARY
Definition
A SUMMARY OF A DATA SET THAT INCLUDES THE MINIMUM, Q1, THE MEDIAN, Q3 AND THE MAXIMUM
Term
BOXPLOT
Definition
A PICTURE THAT CONVEYS INFORMATION ABOUT THE MOST IMPORTANT FEATURES OF A DATA SET: CENTER, SPREAD, EXTENT OF SKEWNESS AND PRESENCE OF OUTLIERS
Term
SKEWED LEFT DATA
Definition
THE HUMP IS ON THE RIGHT, LOW NUMBERS ARE MAKING THE MEAN SMALLER
Term
SKEWED RIGHT DATA
Definition
THE HUMP IS ON THE LEFT, HIGH NUMBERS ARE PULLING THE MEAN TO THE RIGHT
Term
SCATTERPLOT
Definition
A PICTURE OF BIVARIATE NUMERICAL DATA (X,Y)
Term
r
Definition
THE CORRELATION COEFFICIENT. A MEASURE OF THE EXTENT TO WHICH X AND Y ARE LINEARLY RELATED. 1 AND -1 ARE PERFECT, 0 MEANS NO CORRELATION
Term
r^2
Definition
THE COEFFICIENT OF DETERMINATION. THE PROPORTION OF VARIATION IN Y THAT CAN BE EXPLAINED BY THE LINEAR RELATIONSHIP WITH X
Term
RESIDUAL
Definition
A VERTICAL DEVIATION FROM THE ESTIMATED LEAST SQUARE LINE OF REGRESSION. RESID=Y-YHAT
Term
TRANSFORMATIONS
Definition
WHEN YOU DO SOMETHING MATHEMATICALLY TO THE X, Y, OR X AND Y DATA IN ORDER TO TAKE A CURVED INITIAL SCATTERPLOT AND STRAIGHTEN IT UP. NEEDED BECAUSE r MEANS NOTHING UNLESS YOU HAVE LINEAR OR LINEARIZED DATA
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