Assocs: Association Measures

Description Usage Arguments Details Value Author(s) See Also Examples

Description

Collects a number of association measures for nominal and ordinal data.

Usage

1
2
3
4
Assocs(x, conf.level = 0.95, verbose = NULL)

## S3 method for class 'Assocs'
print(x, digits = 4, ...)

Arguments

x

a 2 dimensional contingency table or a matrix.

conf.level

confidence level of the interval. If set to NA no confidence interval will be calculated. Default is 0.95.

verbose

integer out of c(2, 1, 3) defining the verbosity of the reported results. 2 (default) means medium, 1 less and 3 extensive results.
Applies only to tables and is ignored else.

digits

integer which determines the number of digits used in formatting the measures of association.

...

further arguments to be passed to or from methods.

Details

This function wraps the association measures phi, contingency coefficient, Cramer's V, Goodman Kruskal's Gamma, Kendall's Tau-b, Stuart's Tau-c, Somers' Delta, Pearson and Spearman correlation, Guttman's Lambda, Theil's Uncertainty Coefficient and the mutual information.

Value

numeric matrix, dimension [1:17, 1:3]
the first column contains the estimate, the second the lower confidence interval, the third the upper one.

Author(s)

Andri Signorell <andri@signorell.net>

See Also

Phi, ContCoef, CramerV, GoodmanKruskalGamma, KendallTauB, StuartTauC, SomersDelta, SpearmanRho, Lambda, UncertCoef, MutInf

Examples

 1
 2
 3
 4
 5
 6
 7
 8
 9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
options(scipen=8)

# Example taken from: SAS/STAT(R) 9.2 User's Guide, Second Edition, The FREQ Procedure
# http://support.sas.com/documentation/cdl/en/statugfreq/63124/PDF/default/statugfreq.pdf
# Hair-Eye-Color pp. 1816

tob <- as.table(matrix(c(
  69, 28, 68, 51,  6,
  69, 38, 55, 37,  0,
  90, 47, 94, 94, 16
), nrow=3, byrow=TRUE,
   dimnames=list(eye=c("blue","green","brown"),
                 hair=c("fair","red","medium","dark","black")) ))
Desc(tob)
Assocs(tob)

# Example taken from: http://www.math.wpi.edu/saspdf/stat/chap28.pdf
# pp. 1349

pain <- as.table(matrix(c(
   26,  6,
   26,  7,
   23,  9,
   18, 14,
    9, 23
   ), ncol=2, byrow=TRUE))

Desc(pain)
Assocs(pain)

Example output

------------------------------------------------------------------------------ 
tob (table)

Summary: 
n: 762, rows: 3, columns: 5

Pearson's Chi-squared test:
  X-squared = 20.925, df = 8, p-value = 0.00735
Likelihood Ratio:
  X-squared = 25.973, df = 8, p-value = 0.001061
Mantel-Haenszel Chi-squared:
  X-squared = 3.7838, df = 1, p-value = 0.05175

Phi-Coefficient        0.166
Contingency Coeff.     0.163
Cramer's V             0.117

                                                          
        hair    fair    red   medium   dark   black    Sum
eye                                                       
                                                          
blue    freq      69     28       68     51       6    222
        perc    9.1%   3.7%     8.9%   6.7%    0.8%  29.1%
        p.row  31.1%  12.6%    30.6%  23.0%    2.7%      .
        p.col  30.3%  24.8%    31.3%  28.0%   27.3%      .
                                                          
green   freq      69     38       55     37       0    199
        perc    9.1%   5.0%     7.2%   4.9%    0.0%  26.1%
        p.row  34.7%  19.1%    27.6%  18.6%    0.0%      .
        p.col  30.3%  33.6%    25.3%  20.3%    0.0%      .
                                                          
brown   freq      90     47       94     94      16    341
        perc   11.8%   6.2%    12.3%  12.3%    2.1%  44.8%
        p.row  26.4%  13.8%    27.6%  27.6%    4.7%      .
        p.col  39.5%  41.6%    43.3%  51.6%   72.7%      .
                                                          
Sum     freq     228    113      217    182      22    762
        perc   29.9%  14.8%    28.5%  23.9%    2.9% 100.0%
        p.row      .      .        .      .       .      .
        p.col      .      .        .      .       .      .
                                                          

                       estimate  lwr.ci  upr.ci
Phi Coeff.               0.1657       -       -
Contingency Coeff.       0.1635       -       -
Cramer V                 0.1172  0.0329  0.1500
Goodman Kruskal Gamma    0.0949  0.0057  0.1841
Kendall Tau-b            0.0661  0.0039  0.1284
Stuart Tau-c             0.0691  0.0041  0.1340
Somers D C|R             0.0712  0.0042  0.1383
Somers D R|C             0.0614  0.0036  0.1192
Pearson Correlation      0.0705 -0.0005  0.1408
Spearman Correlation     0.0768  0.0058  0.1470
Lambda C|R               0.0075  0.0000  0.0571
Lambda R|C               0.0000  0.0000  0.0000
Lambda sym               0.0042  0.0000  0.0320
Uncertainty Coeff. C|R   0.0118  0.0050  0.0186
Uncertainty Coeff. R|C   0.0159  0.0067  0.0252
Uncertainty Coeff. sym   0.0135  0.0057  0.0214
Mutual Information       0.0246       -       -
------------------------------------------------------------------------------ 
pain (table)

Summary: 
n: 161, rows: 5, columns: 2

Pearson's Chi-squared test:
  X-squared = 26.603, df = 4, p-value = 0.00002392
Likelihood Ratio:
  X-squared = 26.669, df = 4, p-value = 0.00002319
Mantel-Haenszel Chi-squared:
  X-squared = 22.819, df = 1, p-value = 0.00000178

Phi-Coefficient        0.406
Contingency Coeff.     0.377
Cramer's V             0.406

                                
                 A      B    Sum
                                
A     freq      26      6     32
      perc   16.1%   3.7%  19.9%
      p.row  81.2%  18.8%      .
      p.col  25.5%  10.2%      .
                                
B     freq      26      7     33
      perc   16.1%   4.3%  20.5%
      p.row  78.8%  21.2%      .
      p.col  25.5%  11.9%      .
                                
C     freq      23      9     32
      perc   14.3%   5.6%  19.9%
      p.row  71.9%  28.1%      .
      p.col  22.5%  15.3%      .
                                
D     freq      18     14     32
      perc   11.2%   8.7%  19.9%
      p.row  56.2%  43.8%      .
      p.col  17.6%  23.7%      .
                                
E     freq       9     23     32
      perc    5.6%  14.3%  19.9%
      p.row  28.1%  71.9%      .
      p.col   8.8%  39.0%      .
                                
Sum   freq     102     59    161
      perc   63.4%  36.6% 100.0%
      p.row      .      .      .
      p.col      .      .      .
                                

                       estimate  lwr.ci  upr.ci
Phi Coeff.               0.4065       -       -
Contingency Coeff.       0.3766       -       -
Cramer V                 0.4065  0.2212  0.5411
Goodman Kruskal Gamma    0.5313  0.3480  0.7146
Kendall Tau-b            0.3373  0.2103  0.4642
Stuart Tau-c             0.4111  0.2547  0.5675
Somers D C|R             0.2569  0.1592  0.3547
Somers D R|C             0.4427  0.2723  0.6130
Pearson Correlation      0.3776  0.2368  0.5029
Spearman Correlation     0.3771  0.2362  0.5024
Lambda C|R               0.2373  0.0732  0.4014
Lambda R|C               0.1250  0.0000  0.2547
Lambda sym               0.1604  0.0388  0.2821
Uncertainty Coeff. C|R   0.1261  0.0346  0.2175
Uncertainty Coeff. R|C   0.0515  0.0140  0.0890
Uncertainty Coeff. sym   0.0731  0.0199  0.1262
Mutual Information       0.1195       -       -

DescTools documentation built on June 17, 2021, 5:12 p.m.