Dataplot Vol 1 Auxiliary Chapter

SUPPORTED STATISTICS

This section provides a list of the statistics that are currently available in Dataplot.

The calculation of individual statistics is done via subcommands under the LET command, as in

LET A = MEAN X
LET B = STANDARD DEVIATION Y
LET C = CORRELATION X Y

Statistics are computed on either a single response variable or on two response variables (never parameters or functions) and the computed statistic is always stored in a parameter (never a variable or function).

The usefulness of these built-in statistics is increased by the fact that these statistics can be used in the following commands:

1. LET A = <stat>
2. <stat> STATISTIC PLOT
3. CROSS TABULATE <stat> STATISTIC PLOT
4. FLUCTUATION PLOT <stat>
5. <stat> BLOCK PLOT
6. BOOTSTRAP <stat> PLOT
7. JACKNIFE <stat> PLOT
8. DEX <stat> PLOT
9. <stat> INFLUENCE CURVE
10. TABULATE <stat>
11. CROSS TABULATE <stat>
12. LET V = MATRIX COLUMN <stat>
13. LET V = MATRIX ROW <stat>
14. LET A = MATRIX GRAND <stat>
15. LET M = MATRIX PARTITION <stat>
16. LET V = CROSS TABULATE <stat>
17. LET V = SORT BY <stat>

When new statistics are added to Dataplot, they will be listed here rather than in the separate documentation for each of the above commands.

Some of the above commands only support the case where the statistic is computed from a single response variable.

The available statistical subcommands are (for the specifics of a given statistic, enter HELP <stat> where <stat> denotes one of the statistics given here)--

Case 1: One Response Variable

Location Statistics:

• BIWEIGHT LOCATION
• GEOMETRIC MEAN
• HARMONIC MEAN
• HODGES-LEHMAN
• LP LOCATION
• MEAN
• MEDIAN
• MIDMEAN
• MIDRANGE
• SD OF LP LOCATION
• SD OF THE MEAN
• TRIMMED MEAN
• TRIMMED MEAN STAN ERROR
• VARIANCE OF THE MEAN
• VARIANCE OF LP LOCATION
• WINSORIZED MEAN

Scale Statistics:

• AVERAGE ABSOLUTE DEVIATION
• BIWEIGHT MIDVARIANCE
• BIWEIGHT SCALE
• COEFFICIENT OF VARIATION
• GEOMETRIC SD
• INTERQUARTILE RANGE
• MEDIAN ABSOLUTE DEVIATION
• PERCENTAGE BEND MIDVARI
• QN
• RANGE
• RELATIVE STAND DEVIATION
• RELATIVE VARIANCE
• SN
• STANDARD DEVIATION
• TRIMMED SD
• VARIANCE
• WINSORIZED SD
• WINSORIZED VARIANCE

Higher Moments:

• KURTOSIS
• SKEWNESS

Percentile Statistics:

• ___ DECILE
• EXTREME
• INDEX EXTREME
• INDEX MAXIMUM
• INDEX MINIMUM
• LOWER HINGE
• LOWER QUARTILE
• MINIMUM
• MAXIMUM
• PERCENTILE
• QUANTILE
• QUANTILE STANDARD ERROR
• UPPER HINGE
• UPPER QUARTILE

Time Series Statistics:

• AUTOCORRELATION
• AUTOCOVARIANCE
• SIN AMPLITUDE
• SIN FREQUENCY

Quality Control Statistics:

• CC
• CNPK
• CP
• CPL
• CPK
• CPM
• CPU
• EXPECTED LOSS
• PERCENT DEFECTIVE
• SN+
• SN-
• SN0
• SN00

Statistical Tests:

• BINOMIAL PROPORTION
• CHI-SQUARE SD TEST
• CHI-SQUARE SD TEST CDF
• FREQUENCY TEST
• FREQUENCY TEST CDF
• FREQUENCY WITHIN A BLOCK TEST
• FREQUENCY WITHIN A BLOCK TEST CDF
• GRUBB
• GRUBB CDF
• GRUBB DIRECTION
• GRUBB INDEX
• ONE SAMPLE T-TEST
• ONE SAMPLE T-TEST CDF

Distribution:

• NORMAL PPCC
• UNIFORM PPCC

Miscellaneous:

• COMMON DIGITS
• INTEGRAL
• NUMBER OF COMMON DIGITS
• PRODUCT
• SIZE (or NUMBER)
• SUM

Case 2: Two Response Variables

Difference of Location:
• DIFFERENCE OF BIWEIGHT LOCATION
• DIFFERENCE OF GEOMETRIC MEANS
• DIFFERENCE OF HARMONIC MEANS
• DIFFERENCE OF HODGES-LEHMAN
• DIFFERENCE OF LP LOCATION
• DIFFERENCE OF MEANS
• DIFFERENCE OF MEDIANS
• DIFFERENCE OF MIDMEANS
• DIFFERENCE OF TRIMMED MEANS
• DIFFERENCE OF WINSORIZED MEANS

Difference of Scale:

• DIFFERENCE OF BIWEIGHT MIDVARIANCE
• DIFFERENCE OF BIWEIGHT SCALE
• DIFFERENCE OF COEFFICIENT OF VARIATION
• DIFFERENCE OF EXTREMES
• DIFFERENCE OF GEOMETRIC SD
• DIFFERENCE OF INTERQUARTILE RANGE
• DIFFERENCE OF KURTOSIS
• DIFFERENCE OF MAXIMUM
• DIFFERENCE OF MIDRANGE
• DIFFERENCE OF MINIMUM
• DIFFERENCE OF PERCENTAGE BEND
• DIFFERENCE OF QN
• DIFFERENCE OF QUANTILE
• DIFFERENCE OF RANGE
• DIFFERENCE OF RELATIVE VARIANCE
• DIFFERENCE OF SKEWNESS
• DIFFERENCE OF SN
• DIFFERENCE OF STANDARD DEVIATIONS
• DIFFERENCE OF VARIANCES
• DIFFERENCE OF WINSORIZED SD
• DIFFERENCE OF WINSORIZED VARIANCE
• DIFFERENCE OF RELATIVE SD
• DIFFERENCE OF SD OF LP LOCATION
• DIFFERENCE OF SD OF MEAN
• DIFFERENCE OF VARIANCE OF LP LOCATION
• DIFFERENCE OF VARIANCE OF THE MEAN

Weighted Statistics:

WEIGHTED MEAN
WEIGHTED STANDARD DEVIATION
WEIGHTED TRIMMED MEAN
WEIGHTED VARIANCE

Co-Relation:

• BIWEIGHT MIDCORRELATION
• BIWEIGHT MIDCOVARIANCE
• COMOVEMENT
• CORRELATION
• COVARIANCE
• KENDELLS TAU
• PERCENTAGE BEND CORRELATION
• RANK COMOVEMENT
• RANK CORRELATION
• RANK COVARIANCE
• WINSORIZED CORRELATION
• WINSORIZED COVARIANCE

Regression/Fitting:

• LINEAR CORRELATION
• LINEAR INTERCEPT
• LINEAR RESSD
• LINEAR SLOPE
• REPEATABILITY SD
• REPRODUCABILITY SD

Categorical Data:

• CRAMER CONTINGENCY COEFFICIENT
• FALSE NEGATIVE
• FALSE POSITIVE
• LOG ODDS RATIO (BIAS CORRECTED LOG ODDS RATIO)
• NEGATIVE PREDICTIVE VALUE
• ODDS RATIO (BIAS CORRECTED ODDS RATIO)
• PEARSON CONTINGENCY COEFFICIENT
• POSITIVE PREDICTIVE VALUE
• RATIO (= SUM1/SUM2)
• RELATIVE RISK
• STANDARD ERROR ODDS RATIO (STANDARD ERROR OF THE BIAS CORRECTED ODDS RATIO)
• STANDARD ERROR LOG ODDS RATIO (STANDARD ERROR OF THE BIAS CORRECTED LOG ODDS RATIO)
• TRUE POSITIVE
• TRUE NEGATIVE
• TEST SENSITIVITY
• TEST SPECIFICITY

Miscellaneous:

• DIFFERENCE OF BINOMIAL PROPORTIONS
• DIFFERENCE OF COUNTS
• DIFFERENCE OF INTEGRALS
• DIFFERENCE OF PRODUCTS
• DIFFERENCE OF SUMS

Date created: 4/27/2009
Last updated: 4/27/2009