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
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
|
#############################################################
# #
# Original Splus: Ulric Lund #
# E-mail: ulund@calpoly.edu #
# #
#############################################################
#############################################################
# #
# rao.spacing.test function #
# Author: Claudio Agostinelli #
# E-mail: claudio@unive.it #
# Date: May, 31, 2006 #
# Version: 0.3-1 #
# #
# Copyright (C) 2006 Claudio Agostinelli #
# #
#############################################################
rao.spacing.test <- function(x, alpha = 0) {
# Handling missing values
x <- na.omit(x)
if ((n <- length(x))==0) {
warning("No observations (at least after removing missing values)")
return(NULL)
}
if (!any(c(0, 0.01, 0.025, 0.05, 0.1, 0.15)==alpha))
stop("'alpha' must be one of the following values: 0, 0.01, 0.025, 0.05, 0.1, 0.15")
x <- conversion.circular(x, units="degrees", zero=0, rotation="counter", modulo="2pi")
attr(x, "circularp") <- attr(x, "class") <- NULL
statistic <- RaoSpacingTestDeg(x)
result <- list()
result$call <- match.call()
result$statistic <- statistic
result$alpha <- alpha
result$n <- n
class(result) <- "rao.spacing.test"
return(result)
}
RaoSpacingTestDeg <- function(x) {
x <- sort(x %% 360)
n <- length(x)
if (n < 4) {
warning("Sample size too small")
U <- NA
} else {
spacings <- c(diff(x), x[1] - x[n] + 360)
U <- 1/2 * sum(abs(spacings - 360/n))
}
return(U)
}
#############################################################
# #
# print.rao.spacing.test function #
# Author: Claudio Agostinelli #
# E-mail: claudio@unive.it #
# Date: August, 15, 2007 #
# Version: 0.2-2 #
# #
# Copyright (C) 2007 Claudio Agostinelli #
# #
#############################################################
print.rao.spacing.test <- function(x, digits=4, ...) {
U <- x$statistic
alpha <- x$alpha
n <- x$n
data(rao.table, package='circular', envir=sys.frame(which=sys.nframe()))
if (n <= 30)
table.row <- n - 3
else if (n <= 32)
table.row <- 27
else if (n <= 37)
table.row <- 28
else if (n <= 42)
table.row <- 29
else if (n <= 47)
table.row <- 30
else if (n <= 62)
table.row <- 31
else if (n <= 87)
table.row <- 32
else if (n <= 125)
table.row <- 33
else if (n <= 175)
table.row <- 34
else if (n <= 250)
table.row <- 35
else if (n <= 350)
table.row <- 36
else if (n <= 450)
table.row <- 37
else if (n <= 550)
table.row <- 38
else if (n <= 650)
table.row <- 39
else if (n <= 750)
table.row <- 40
else if (n <= 850)
table.row <- 41
else if (n <= 950)
table.row <- 42
else table.row <- 43
cat("\n")
cat(" Rao's Spacing Test of Uniformity", "\n", "\n")
cat("Test Statistic =", round(U, digits=digits), "\n")
if (alpha == 0) {
if (U > rao.table[table.row, 1])
cat("P-value < 0.001", "\n", "\n")
else if (U > rao.table[table.row, 2])
cat("0.001 < P-value < 0.01", "\n", "\n")
else if (U > rao.table[table.row, 3])
cat("0.01 < P-value < 0.05", "\n", "\n")
else if (U > rao.table[table.row, 4])
cat("0.05 < P-value < 0.10", "\n", "\n")
else cat("P-value > 0.10", "\n", "\n")
x$accepted <- NA
} else {
table.col <- (1:4)[alpha == c(0.001, 0.01, 0.05, 0.1)]
critical <- rao.table[table.row, table.col]
cat("Level", alpha, "critical value =", critical, "\n")
if (U > critical) {
cat("Reject null hypothesis of uniformity \n\n")
x$accepted <- FALSE
} else {
cat("Do not reject null hypothesis of uniformity \n\n")
x$accepted <- TRUE
}
}
invisible(x)
}
|
