Keywords - Function groups - @ A B C D E F G H I J K L M N O P Q R S T U V W X Y Z

 Library: spatial See also: SPPPinit SPPPinitrandom SPPPsetregion SPPPgetregion SPPPkfn SPPPpsim SPPPstrauss SPPPssi SPPPkaver

 Quantlet: SPPPkenvl Description: computes envelope (upper and lower limits) and average of simulations of K-fns

Reference(s):
Venables, W. N., Ripley, B. D. (1999): Modern Applied Statistics with S-Plus, Third Edition, Springer, New York

 Usage: res = SPPPkenvl(fs, k, obj) Input: fs scalar, full scale of the plot k scalar, number of regularly spaced distances in (0, fs) obj list, consisting of xmat, ymat, and type, caculated by SPPPpsim, SPPPstrauss, or SPPPssi (list type = "PSIM", "STRAUSS", or "SSI") Output: res list, consisting of components hx, hl, hu and aver: res.hx k x 1 vector, distances res.hl k x 1 vector, min of K-fn res.hu k x 1 vector, max of K-fn res.aver k x 1 vector, averages of K-fn

Note:
C-Code from Venables, Ripley (1999) forms the basis of this quantlet. Also check this reference for more details.

Example:
```; loads the spatial statistics library
library("spatial")
; reads a spatial data set
; initializes a point process
pinesobj = SPPPinit(pines, 0, 96, 0, 100, 10)
; resets random number generator
SPPPinitrandom(0)
; simulates 100 Binomial point processes, each consisting
; of 72 points, in the previously determined domain
ppsim = SPPPpsim(100, 72)
; calculates the envelope in interval(0, 5), split
; into 100 segments
ppkenvl = SPPPkenvl(5, 100, ppsim)
ppkenvl

```
Result:
```List consisting of distances and min, max, and averages
of K-fn:

Contents of ppkenvl.hx
[  1,]     0.05
[  2,]      0.1
[  3,]     0.15
...
[ 99,]     4.95
[100,]        5

Contents of ppkenvl.hl
[  1,]        0
[  2,]        0
[  3,]        0
...
[ 99,]   4.6822
[100,]   4.7263

Contents of ppkenvl.hu
[  1,]  0.15355
[  2,]  0.21716
[  3,]  0.26596
...
[ 99,]   5.1452
[100,]    5.204

Contents of ppkenvl.aver
[  1,]  0.049757
[  2,]  0.096131
[  3,]  0.15146
...
[ 99,]   4.9111
[100,]   4.9623
```

Author: J. Symanzik, 20000725 license MD*Tech
(C) MD*TECH Method and Data Technologies, 05.02.2006