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Stats 140 Exam 1 Chapters 1-6
N/A
60
Mathematics
Undergraduate 1
02/17/2009

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Term
CONTEXTVE
Definition
TELLS WHO WAS MEASURED, WHAT WAS MEASURED, HOW THE DATE WERE COLLECTED, WHERE THE DATA WERE COLLECTED, ,AND WHEN AND WHY THE STUDY WAS PERFORMED
Term
DATA
Definition
SYSTEMATICALLY RECORDED INFORMATION, WHERE NUMBERS OR LABELS, TOGETHER WITH ITS CONTEXT
Term
DATA TABLE
Definition
AN ARRANGMENT OF DATA IN WHICH EACH ROW REPRESENTS A CASE AND EACH COLUMN REPRESENTS A VARIABLE
Term
DATA TABLE
Definition
AN ARRANGEMENT OF DATE IN WHICH EACH ROW REPRESENTS A CASE AND EACH COLUMN REPRESENTS A VARIABLE
Term
CASE
Definition
AN INDIVIDUAL ABOUT WHOM OR WHICH WE HAVE DATA
Term
VARIABLE
Definition
HOLD INFORMATION ABOUT THE SAME CHARACTERICS FOR MANY CASES
Term
CATEGORICAL VARIABLE
Definition
VARIABLE THAT NAMES CATEGORIES (WITH WORDS OR NUMBERS)
Term
QUANTITATIVE VARIABLE
Definition
VARIABLE IN WHICH THE NUMBERS ACT AS NUMERICAL VALUES AND THESE VALUES ALWAYS HAVE UNITS
Term
UNITS
Definition
A QUANTITY OR AMOUNT ADOPTED AS A STANDARD OF MEASUREMENT, SUCH AS DOLLARS, HOURS, OR GRAMS
Term
FREQUENCY TABLE
Definition
LISTS THE CATEGORIES IN A CATEGORICAL VARIABLE AND GIVES THE COUNT OR PERCENTAGE OF OBSERVATIONS OF EACH CATEGORY
Term
DISTRIBUTION
Definition
GIVES POSSIBLE VALUES OF THE VARIABLE AND THE RELATIVE GREQUENCY OF EACH VALUE
Term
AREA PRINCIPLE
Definition
EACH DATA VALUE SHOULD BE REPRESENTED BY THE SAME AMOUNT OF AREA
Term
BAR CHART
Definition
SHOW A BAR REPRESENTING THE COUNT OF EACH CATEGORY IN A CATEGORICAL VARIABLE
Term
PIE CHART
Definition
SHOW HOW A "WHOLE" DIVIDES INTO CATEGORIES BY SHOWING A WEDGE OF A CIRCLE WHOSE AREA CORRESPONDS TO THE PROPORTION IN EACH CATEGORY
Term
CONTINGENCY TABLE
Definition
DISPLAYS THE COUNTS AND SOMETIMES, PERCENTAGES OF INDIVIDUALS FALLING INTO NAMES CATEGORIES ON TWO OR MORE VARIABLES. THE TABLE CATEGORIZES THE INDIVIDUALS ON ALL VARIABLES AT ONCE, TO REVEAL POSSIBLE PATTERNS IN ONE VARIABLE THAT MAY BE CONTINGENT ON THE CATEGORY OFF THE OTHER
Term
MARGINAL DISTRIBUTION
Definition
THE DISTRIBUTION OF EITHER VARIABLE ALONE IS CALLED THE MARINAL DISTRIBUTION. THE COUNTS OR PERCENTAGES ARE THE TOTALS FOUND IN THE MARGINS (LAST ROW OR COLUMN) OF THE TABLE
Term
CONDITIONAL DISTRIBUTION
Definition
DISTRIBUTION OF A VARIABLE RESTRICTING THE WHO TO CONSIDER ONLY A SMALLER GROUP OF INDIVIDUALS
Term
SIMPSON'S PARADOX
Definition
WHEN AVERAGES ARE TAKEN ACROSS DIFFERENT GROUPS, THEY CAN APPEAR TO CONTRADICT THE OVERALL AVERAGES
Term
HISTOGRAM
Definition
USES ADJACENT BARS TO SHOW THE DISTRIBUTION OF VALUES IN A QUANTITATIVE VARIABLE. EACH BAR REPRESENTS A FREQUENCY OF VALUES FALLING IN AN INTERBAL OF VALUES
Term
STEM-AND-LEAD DISPLAY
Definition
SHOWS QUANTITATIVE DATA VALUES IN A WAY THAT SKETCHES THE DISTRIBUTION OF THE DATA
Term
DOTPLOT
Definition
A DOT FOR EACH CASE AGAINST A SINGLE AXIS
Term
SHAPW
Definition
SINGLE VS. MULT. MODES
SYMMETRY VS. SKEWNESS
Term
CENTER
Definition
SUMMERIZES THE ENTIRE DISTRIBUTION WIHT A SINGLE NUMBER (TYPICAL VALUE)
Term
SPREAD
Definition
HOW TIGHTLY THE VALUES ARE CLUSTERED AROUND THE CENTER
Term
MODE
Definition
A HUMP OR LOCAL HIGH POINT IN THE SHAPE OF THE DISTRIBUTION OF A VARIABLE. THE LOCATION OF THE MODE CHANGED WHEN THE SCALE OF THE HISTOGRAM IS CHANGED.
Term
UNIMODIAL
Definition
ONE MODE
Term
BIMODAL
Definition
2 MODES
Term
MULTIMODAL
Definition
MORE THAN 2 MODES
Term
UNIFORM
Definition
DISTRIBUTION THAT IS ROUGHLY FLAT
Term
SYMMETRIC
Definition
2 HALVES ON EITHER SIDE OF THE CENTER LOOK APPROXIMATELY LIKE MIRROR IMAGES OF EACH OTHER
Term
TAILS
Definition
PARTS THAT TYPICALLY TRAIL OFF ON EITHER SIDE.

LONG TAILS STRAGGLE OFF FOR SOME DISTANCE AND SHORT TAILS DON'T
Term
SKEWED
Definition
NOT SYMMETICA AND ONE TAIL STRETCHES OUT FATHER THAN THE OTHER
Term
OUTLIERS
Definition
EXTREME VALUES THAT DON'T APPEAR TO BELONG WITH THE REST OF THE DATA.
Term
TIMEPLOT
Definition
DISPLAYS DATA THAT CHANGE OVER TIME. SUCCESSIVE VALUES ARE CONNECTED WITH LINES TO SHOW TRENDS MORE CLEARLY.
Term
CENTER
Definition
MEAN OR MEDIAN
Term
MEDIAN
Definition
MIDDLE VALUE WITH 1/2 OF THE DATA ABOVE AND 1/2 BELOW
Term
SPREAD
Definition
STANDARD DEVIATION, IQR AND RANGE
Term
RANGE
Definition
THE DIFFERENCE BETWEEN THE HIGHEST VALUES AND THE LOWEST VALUES
Term
QUARTILE
Definition
Q1- 1/4 BELOW IT
Q3- 1/4 ABOVE IT

THE MEDIAN DIVIDES IT INTO 4 EQUAL PARTS
Term
IQR
Definition
Q3 - Q1
Term
5- NUMBER SUMMARY
Definition
- THE MINI AND MAX
- Q1 & Q2
- MEDIAN
Term
BOXPLOT
Definition
DISPLAYS 5 # SUMMARY AS A CENTRAL BOX WITH WHISKERS THAT EXTEND TO THE NON-OUTLYING DATA VALUES. EFFECTIVE IN COMPARING GROUPS
Term
MEAN
Definition
FOUND BY SUMMING ALL DATE VALUES AND DIVIDING BY THE COUNT
Term
VARIANCE
Definition
SUM OF SQUARED DEVIATIONS FROM THE MEAN, DIVIDED BY THE COUNT MINUS 1
Term
STANDARD DEVIATION
Definition
THE SQUARE ROOT OF THE VARIANCE
Term
COMPARING DISTRIBUTIONS
Definition
- SHAPE
- CENTER
- SPREAD
Term
COMPARING BOX PLOTS
Definition
- MEDIANS--> WHICH GROUPS HAS HIGHER CENTER
- IQR--> WHICH GROUP IS MORE SPREAD OUT
- SIZE OF IQU--> ARE THE MEDIANS VERY DIFFERENT
- CHECK OULIERS
Term
SHIFTING
Definition
ADD A CONSTANT TO EACH DATA VALUE ADDS THE SAME C ONTANT TO THE MEAN, MEDIAN, AND Q'S, BUT DOES NOT CHANGE THE SD OR IQR
Term
RESCALING
Definition
MULTIPLYING EACH DATE VALUE BY A CONSTANT MULTIPLIES BOTH THE MEASURES OF POSITION AND THEMEASURES OF SPREAD
Term
STANDARDIZING
Definition
CAN BE COMPARED AND COMBINED EVEN IF THE ORGINAL VARIABLES HAD DIFFERENT UNITS AND MAGNITUDES
Term
STANDARDIZING
Definition
CAN BE COMPARED AND COMBINED EVEN IF THE ORGINAL VARIABLES HAD DIFFERENT UNITS AND MAGNITUDES
Term
STANDARDIZED VALUE
Definition
A VALUE FOUND BY STUBTRACTING THE MEAN AND DIVIDING BY THE STANDARD DEVIATION
Term
NORMAL MODEL
Definition
USEFUL FAMIL OF MODELS FOR UNIMODAL, SYMMETRIC DISTRIBUTIONS
Term
PARAMETER
Definition
NUMERICALLY VALUED ATTRIBUTE FOR A MODEL
Term
STATISTIC
Definition
A VALUE DATA CALCUALATED FROM DATA TO SUMARIZE ASPECTS OF THE DATA
Term
Z-SCORE
Definition
TELLS HOW MANY STANDARD DEVIATIONS A VALES IS FROM THE MEAN. THEY HAVE A MEAN OF ZERO AND A STANDARD DEVIATION OF 1.
Term
STANDARD NORAML MODEL
Definition
STANDARD DEVIATION = 1
MEAN = 1
Term
NORMAL PERCENTILE
Definition
CORRESPONDES TO A Z SCORE AND GIVE THE PERCENTAGE OF VALUES IN A STANDARD NORWAL DISTRIBUTION FOUND AT THAT Z SCORE OR BELOW
Term
NORMAL PROBABILITY PLOT
Definition
A DISPLAY TO HALP ASSESS WHETHER A DISTRIBUTION OF DATA IS APPROZIMATELY NORMAL. IF THE PLOT IS ALMOST STRIAHGT, THE DATA SATISFY THE NEARLY NORMAL CONDITION
Term
CHANGING CENTER AND SPREAD
Definition
EQUIVALENT TO CHANGING ITS UNITS
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