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149 1 0.5 0.67 0.67 0 0.5 2011 1 0
139 0.89 0.5 0.83 0.33 0.5 1 2011 1 1
148 0.89 0.4 1 0.67 0 1 2011 1 0
158 0.89 0.5 0.83 0 0 0 2011 1 1
128 0.89 0.7 0.67 0 1 1 2011 1 1
224 0.78 0.3 0 0 0.5 0.5 2011 1 1
159 0.89 0.4 0.83 0.67 0.5 0 2011 1 0
105 1 0.4 0.5 0.67 1 1 2011 1 1
159 0.89 0.7 0.83 0 0.5 0 2011 1 1
167 0.78 0.6 0.33 0.67 0.5 0.5 2011 1 1
165 1 0.6 0.5 1 0 0.5 2011 1 1
159 0.78 0.2 0.67 0 0.5 0.5 2011 1 1
119 0.89 0.4 1 0 0.5 0.5 2011 1 1
176 0.89 0.4 0.5 0.67 0 1 2011 1 0
54 0.89 0.5 0.67 0.33 0 0 2011 1 0
91 0.89 0.3 0.17 0.67 0 0.5 2011 0 0
163 0.89 0.4 0.83 0.33 0.5 0.5 2011 1 1
124 0.67 0.7 0.67 0.33 0.5 1 2011 1 0
137 1 0.5 0.67 0.33 0 1 2011 0 1
121 0.78 0.2 0.67 0 0 1 2011 1 0
153 0.78 0.3 0.5 0.67 0 0.5 2011 1 1
148 0.89 0.6 1 0.33 0 1 2011 1 1
221 0.78 0.6 0.83 0.33 0 1 2011 1 0
188 0.89 0.2 0.83 0.33 0 1 2011 1 1
149 0.89 0.7 1 0.67 1 0 2011 1 1
244 0.33 0.2 0.67 0 0 0 2011 1 1
148 1 1 1 0.33 1 1 2011 0 1
92 0.89 0.4 0.83 0.67 0 0.5 2011 0 0
150 0.89 0.4 1 1 0 1 2011 1 1
153 0.67 0.2 0.83 0.67 0 0.5 2011 1 0
94 0.56 0.4 0.67 0.33 0 1 2011 1 0
156 0.89 0.4 0.67 0 0.5 1 2011 1 0
132 0.89 0.7 1 0.67 0.5 0.5 2011 1 1
161 1 0.2 0.67 0.67 0 0.5 2011 1 1
105 0.78 0.6 1 1 0 0.5 2011 1 1
97 0.78 0.3 1 1 0.5 0.5 2011 1 1
151 0.33 0.3 0.5 0.33 0 0 2011 1 0
131 0.78 0.2 0.67 0 0.5 0 2011 0 1
166 0.89 0.5 0.83 0.67 0.5 0.5 2011 1 1
157 0.89 0.7 1 0.67 0.5 1 2011 1 0
111 0.78 0.6 1 0.67 0.5 0.5 2011 1 1
145 0.89 0.4 1 0.67 0.5 1 2011 1 1
162 0.89 0.6 1 0.33 0.5 1 2011 1 1
163 1 0.4 1 1 0 1 2011 1 1
59 0.67 0.3 0.83 0.67 0 1 2011 0 1
187 1 0.5 0.83 0.67 0.5 0.5 2011 1 0
109 0.89 0.2 0.5 0 0 1 2011 1 1
90 0.89 0.3 0.83 0 0.5 1 2011 0 1
105 0.89 0.5 0.17 0 0 1 2011 1 0
83 0.78 0.7 0.83 1 0.5 1 2011 0 1
116 0.89 0.4 1 0.67 1 0.5 2011 0 1
42 0.78 0.3 1 0 0 0.5 2011 0 1
148 0.78 0.2 0.67 0.67 1 1 2011 1 1
155 1 0.5 1 0 0 0.5 2011 0 1
125 0.78 0.4 1 0 0.5 0 2011 1 1
116 1 0.6 1 0.67 1 1 2011 1 1
128 0.78 0.4 0.83 1 0 1 2011 0 0
138 0.67 0.4 0.33 0 0 0.5 2011 1 1
49 0.33 0.2 0.33 0.33 0 0 2011 0 0
96 1 0.9 1 0.67 0.5 1 2011 0 1
164 1 0.8 1 0.67 1 0.5 2011 1 1
162 0.78 0.8 0.83 0 0.5 1 2011 1 0
99 0.67 0.3 1 1 0.5 1 2011 1 0
202 1 0.2 0.83 0.67 0 0.5 2011 1 1
186 0.89 0.4 0.67 0 0.5 1 2011 1 0
66 0.89 0.2 0.83 1 0 1 2011 0 1
183 0.78 0.2 0.67 0.67 0.5 1 2011 1 0
214 1 0.1 0.83 0.67 0 1 2011 1 1
188 0.56 0.4 0.67 1 0.5 0 2011 1 1
104 0.67 0.5 1 0 0.5 0.5 2011 0 0
177 0.89 0.8 0.83 0.33 0.5 1 2011 1 0
126 0.89 0.4 0.67 0.67 0 0.5 2011 1 0
76 0.89 0.6 0.83 0.33 0.5 0.5 2011 0 0
99 0.89 0.5 0.83 0.67 0.5 1 2011 0 1
139 0.78 0.3 0.67 0 0 0 2011 1 0
162 1 0.4 0.33 0 0.5 0 2011 1 0
108 1 0.6 0.83 0.67 0.5 0.5 2011 0 1
159 0.89 0.4 1 0.33 0 0.5 2011 1 0
74 0.44 0.3 0.83 0 0 0 2011 0 0
110 0.78 0.8 0.83 0 1 1 2011 1 1
96 0.89 0.6 0.5 0.33 1 1 2011 0 0
116 0.67 0.3 0.5 0 0 0 2011 0 0
87 0.78 0.5 0.83 0.67 0.5 1 2011 0 0
97 0.78 0.4 1 0.33 0 1 2011 0 1
127 0.33 0.3 0.33 0.67 0 0 2011 0 0
106 0.89 0.7 1 0.33 0 0.5 2011 0 1
80 0.89 0.2 0.67 0.33 0.5 0.5 2011 0 1
74 0.89 0.4 0.83 1 0 1 2011 0 0
91 0.89 0.6 1 0.67 0.5 0.5 2011 0 0
133 0.56 0.6 0.83 0 0 1 2011 0 0
74 0.67 0.6 0.83 0.67 0.5 0.5 2011 0 1
114 0.67 0.4 1 0.33 0.5 1 2011 0 1
140 0.78 0.6 0.83 0 0 1 2011 0 1
95 0.78 0.5 1 0.33 0.5 1 2011 0 0
98 0.78 0.5 0.83 0 0 1 2011 0 1
121 0.89 0.6 0.67 0 0 1 2011 0 0
126 1 0.8 0.83 0.33 0.5 1 2011 0 1
98 0.89 0.5 0.83 0.67 1 0.5 2011 0 1
95 0.89 0.6 0.83 0.67 0.5 1 2011 0 1
110 0.78 0.4 0.83 0.67 0.5 1 2011 0 1
70 1 0.3 0.67 0.67 0.5 1 2011 0 1
102 0.78 0.3 0.83 1 0 0.5 2011 0 0
86 0.67 0.2 0 0 0 0 2011 0 1
130 0.78 0.4 0.83 0 0 0.5 2011 0 1
96 0.89 0.5 1 0 0 0.5 2011 0 1
102 0.67 0.3 0.17 0 0.5 0 2011 0 0
100 0.22 0.4 0.17 0 0.5 0 2011 0 0
94 0.44 0.5 0.5 1 0 0 2011 0 0
52 0.89 0.3 0.5 0.67 0 1 2011 0 0
98 0.67 0.5 1 0 0 0.5 2011 0 0
118 0.89 0.4 0.67 0.67 0 0.5 2011 0 0
99 0.67 0.4 0.83 0.67 0 1 2011 0 1
48 0.78 0.6 1 0 1 1 2012 1 1
50 0.78 0.3 1 0.67 1 1 2012 1 1
150 0.78 0.4 1 0.33 1 0.5 2012 1 1
154 1 0.3 1 1 1 1 2012 1 1
109 0.78 1 1 1 1 1 2012 0 0
68 0.67 0.4 1 0 0 0.5 2012 0 1
194 0.89 0.8 0.83 1 0.5 1 2012 1 1
158 0.89 0.3 1 0.67 1 1 2012 1 0
159 1 0.5 0.83 0.67 0 1 2012 1 1
67 0.78 0.4 1 0 0 0.5 2012 1 0
147 0.67 0.3 0.83 0.67 0 1 2012 1 0
39 0.89 0.5 0.83 1 0 1 2012 1 1
100 0.67 0.3 1 0.67 0 1 2012 1 1
111 0.67 0.3 0.67 0 0 1 2012 1 1
138 1 0.4 0.83 0 0 1 2012 1 1
101 0.67 0.3 1 0 0 0.5 2012 1 1
131 1 0.6 1 0.33 0.5 0.5 2012 0 1
101 0.89 0.6 0.83 0.67 1 1 2012 1 1
114 0.89 0.4 1 1 1 1 2012 1 1
165 1 0.4 1 0 0 0 2012 1 0
114 0.67 0.4 1 0.67 0 0.5 2012 1 1
111 0.44 0.3 0.67 0.67 0.5 1 2012 1 1
75 0.89 0.2 1 0.33 1 0 2012 1 1
82 0.56 0.5 0.83 0.67 0 1 2012 1 1
121 0.78 0.4 1 0.67 1 1 2012 1 1
32 1 0.4 1 0.67 0 0 2012 1 1
150 1 0.4 0.83 0.67 0 1 2012 1 0
117 0.89 0.3 0.67 0.67 0.5 0.5 2012 1 1
71 0.67 0.4 0.83 0.67 1 0.5 2012 0 1
165 0.89 0.2 1 0.33 0.5 1 2012 1 1
154 0.33 0 0 0 0 0 2012 1 1
126 0.89 0.4 1 0.67 0.5 1 2012 1 1
149 0.78 0.6 1 0 1 1 2012 1 0
145 1 0.4 0.67 0.67 0 0.5 2012 1 0
120 0.44 0.4 1 0 0 0.5 2012 1 1
109 0.67 0.4 0.83 0 0.5 0 2012 1 0
132 0.33 0.2 0.17 0 0.5 0 2012 1 0
172 0.89 0.4 0.83 1 1 1 2012 1 1
169 0.89 0.3 0.83 0 0 0.5 2012 1 0
114 1 0.6 0.83 0.67 1 0 2012 1 1
156 0.89 0.6 0.83 1 0 1 2012 1 1
172 0.89 0.4 0.83 0 0 1 2012 1 0
68 1 0.5 1 0.67 1 0.5 2012 0 1
89 0.89 0.4 0.83 0 0.5 1 2012 0 1
167 1 0.6 1 1 1 1 2012 1 1
113 0.78 0.6 0.83 0.67 0.5 1 2012 1 0
115 0.78 0.9 1 0.67 0.5 1 2012 0 0
78 0.67 0.4 0.83 0.67 0.5 0 2012 0 0
118 0.89 0.8 1 1 0.5 1 2012 0 0
87 0.67 0.5 0.83 1 0 1 2012 0 1
173 0.78 0.4 0.83 1 0 0 2012 1 0
2 0.89 0.4 1 0.67 1 0.5 2012 1 1
162 0.89 0.7 1 1 1 0.5 2012 0 0
49 0.78 0.4 1 0.33 1 1 2012 0 1
122 1 0.8 1 0.67 0.5 1 2012 0 0
96 1 0.4 1 1 1 0.5 2012 0 1
100 1 0.3 1 0.67 0 0.5 2012 0 0
82 0.67 0.5 1 0.67 0.5 1 2012 0 0
100 0.89 0.8 1 0.67 1 1 2012 0 1
115 1 0.4 0.83 0.33 0 0.5 2012 0 0
141 1 1 1 1 0.5 0 2012 0 1
165 0.89 0.5 1 0.67 1 1 2012 1 1
165 0.89 0.5 1 0.67 1 1 2012 1 1
110 0.89 0.3 1 0.33 0 1 2012 0 1
118 0.89 0.3 0.83 0.33 0.5 1 2012 1 1
158 0.89 0.3 0.5 0 0 1 2012 1 0
146 1 0.4 0.67 0.33 0.5 0.5 2012 0 1
49 0.67 0.5 1 0.33 0 1 2012 1 0
90 1 0.5 0.67 0.67 0.5 1 2012 0 0
121 0.89 0.4 1 0 0 0 2012 0 0
155 0.89 0.7 1 1 0.5 0 2012 1 1
104 0.89 0.5 0.5 0.33 0 0.5 2012 0 0
147 0.89 0.4 0.67 0.33 1 0 2012 0 1
110 1 0.7 0.67 1 0 1 2012 0 0
108 1 0.7 0.67 1 0 1 2012 0 0
113 1 0.7 0.67 1 0 1 2012 0 0
115 0.89 0.7 0.67 1 0 1 2012 0 0
61 0.89 0.7 0.67 0 0 0 2012 0 1
60 0.89 0.7 1 0.67 0.5 1 2012 0 1
109 0.33 0.1 0.67 0.33 0.5 0 2012 0 1
68 0.67 0.2 0.67 0.67 0.5 1 2012 0 1
111 0.56 0.3 0.33 0.33 0 1 2012 0 0
77 0.44 0.6 0.83 0.33 0 0.5 2012 0 0
73 1 0.8 1 1 1 1 2012 0 1
151 0.89 0.8 1 0.33 0.5 0.5 2012 1 0
89 0.33 0 0.17 0 0 0 2012 0 0
78 0.67 0.3 0.67 0.33 0 1 2012 0 0
110 0.67 0.6 0.83 0.33 0.5 1 2012 0 0
220 1 0.5 0.83 0.67 0 1 2012 1 1
65 0.78 0.7 1 0.33 0 0.5 2012 0 1
141 0.67 0.3 0.83 0 0.5 1 2012 1 0
117 1 0.3 1 0.67 0 0 2012 0 0
122 0.78 0.4 1 0.67 0 0.5 2012 1 1
63 0.89 0.4 0.83 1 0 1 2012 0 0
44 0.89 0.1 0.83 0 0 1 2012 1 1
52 0.89 0.5 1 0.67 0 1 2012 0 1
131 0 0 0 0 0 0 2012 0 0
101 0.67 0.4 1 0.33 0.5 0 2012 0 1
42 1 0.6 0.83 0.67 1 0.5 2012 0 1
152 1 0.4 1 0.33 0.5 1 2012 1 1
107 0.67 0.1 0.33 0 0.5 1 2012 1 0
77 0.89 0.3 0.83 0 0 1 2012 0 0
154 0.89 0.7 0.83 0.67 0 1 2012 1 0
103 0.56 0.3 0.17 0 0 1 2012 1 1
96 0.67 0.5 0.83 0.33 0.5 0 2012 0 1
175 1 0.3 0.83 0.67 1 1 2012 1 1
57 1 0.6 0.67 0.67 0.5 1 2012 0 1
112 1 0.9 1 1 0 1 2012 0 0
143 0.67 0.4 0.83 0 0.5 1 2012 1 0
49 0.44 0.3 1 0 0.5 0.5 2012 0 0
110 0.89 0.9 1 0.67 1 1 2012 1 1
131 0.44 0.5 1 0 0.5 0 2012 1 1
167 0.56 0.3 1 1 0.5 0.5 2012 1 0
56 0.89 0.6 0.83 0.67 0 0.5 2012 0 0
137 0.67 0.2 1 0.33 0 0.5 2012 1 0
86 0.89 0.4 0.83 1 0.5 1 2012 0 1
121 1 0.5 0.83 0.67 0.5 0.5 2012 1 1
149 0.78 0.4 0.83 0.67 0 0.5 2012 1 0
168 0.44 0 0 0 0 0 2012 1 0
140 0.89 0.2 1 0.33 0.5 1 2012 1 0
88 0.89 0.5 1 0.67 0.5 1 2012 0 1
168 0.89 0.3 1 0.67 0 0.5 2012 1 1
94 0.44 0 0 0 0 0 2012 1 1
51 1 0.5 0.83 1 0 1 2012 1 1
48 0.89 0.6 0.83 0.33 0 1 2012 0 0
145 0.67 0.3 0.83 0 0.5 0.5 2012 1 1
66 0.33 0 0 0 0 0 2012 1 1
85 0.78 0.3 0.67 0 0.5 0 2012 0 1
109 0.89 0.5 1 0.67 0.5 1 2012 1 0
63 0.78 0.4 0.67 0 0 1 2012 0 0
102 0.78 0.5 0.83 0.67 0 0.5 2012 0 1
162 0.89 0.7 1 1 1 0.5 2012 0 0
86 0.78 0.8 1 0.67 0.5 1 2012 0 1
114 0.78 0.6 1 0.33 0.5 1 2012 0 1
164 0.67 0.4 0.83 0.33 0 0.5 2012 1 0
119 0.89 0.5 0.83 0.33 0.5 0 2012 1 1
126 0.89 0.5 1 0 0.5 1 2012 1 0
132 0.78 0.3 1 0.33 0 1 2012 1 1
142 1 0.6 1 0 0.5 1 2012 1 1
83 1 0.3 0.67 0.67 0 0.5 2012 1 0
94 0.78 0.6 0.83 1 0.5 0.5 2012 0 1
81 0.78 0.3 0.33 0.33 0 1 2012 0 0
166 0.89 0.7 1 0.67 1 1 2012 1 1
110 0.89 0.7 1 1 0 1 2012 0 0
64 0.67 0.6 0.67 1 0.5 1 2012 0 1
93 1 0.5 1 0.33 0.5 0 2012 1 0
104 0.67 0.5 0.83 0.33 0 0.5 2012 0 0
105 0.56 0.4 0.67 0 0 1 2012 0 1
49 0.78 0.4 1 0.33 1 1 2012 0 1
88 1 0.7 1 1 0 1 2012 0 0
95 0.67 0.2 0.17 0 0.5 0 2012 0 1
102 0.78 0.5 0.83 0.67 0 0.5 2012 0 1
99 0.56 0.4 0.83 0.67 0.5 0 2012 0 0
63 1 0.2 1 0.67 1 1 2012 0 1
76 0.89 0.5 0.67 0.67 0 0 2012 0 0
109 0.44 0.4 0.5 0 0 1 2012 0 0
117 1 0.7 0.67 1 1 1 2012 0 1
57 0.89 0.6 0.83 0.67 1 0 2012 0 1
120 0.78 0.4 0.83 0 0 0 2012 0 0
73 0.89 0.5 1 0.67 1 1 2012 0 1
91 0.11 0 0.17 0 0 0 2012 0 0
108 0.89 0.7 1 0.67 0.5 1 2012 0 0
105 0.89 0.4 0.67 0.67 0 1 2012 0 1
117 1 0.5 0.67 1 0 1 2012 1 0
119 0.89 0.6 0.83 0.67 0 0.5 2012 0 0
31 1 0.8 0.5 0.67 0.5 0.5 2012 0 1

par6 <- '12'
par5 <- '1'
par4 <- '1'
par3 <- 'No Linear Trend'
par2 <- 'Do not include Seasonal Dummies'
par1 <- '1'
library(lattice)
library(lmtest)
library(car)
library(MASS)
n25 <- 25 #minimum number of obs. for Goldfeld-Quandt test
mywarning <- ''
par6 <- as.numeric(par6)
if(is.na(par6)) {
par6 <- 12
mywarning = 'Warning: you did not specify the seasonality. The seasonal period was set to s = 12.'
}
par1 <- as.numeric(par1)
if(is.na(par1)) {
par1 <- 1
mywarning = 'Warning: you did not specify the column number of the endogenous series! The first column was selected by default.'
}
if (par4=='') par4 <- 0
par4 <- as.numeric(par4)
if (!is.numeric(par4)) par4 <- 0
if (par5=='') par5 <- 0
par5 <- as.numeric(par5)
if (!is.numeric(par5)) par5 <- 0
x <- na.omit(t(y))
k <- length(x[1,])
n <- length(x[,1])
x1 <- cbind(x[,par1], x[,1:k!=par1])
mycolnames <- c(colnames(x)[par1], colnames(x)[1:k!=par1])
colnames(x1) <- mycolnames #colnames(x)[par1]
x <- x1
if (par3 == 'First Differences'){
(n <- n -1)
x2 <- array(0, dim=c(n,k), dimnames=list(1:n, paste('(1-B)',colnames(x),sep='')))
for (i in 1:n) {
for (j in 1:k) {
x2[i,j] <- x[i+1,j] - x[i,j]
}
}
x <- x2
}
if (par3 == 'Seasonal Differences (s)'){
(n <- n - par6)
x2 <- array(0, dim=c(n,k), dimnames=list(1:n, paste('(1-Bs)',colnames(x),sep='')))
for (i in 1:n) {
for (j in 1:k) {
x2[i,j] <- x[i+par6,j] - x[i,j]
}
}
x <- x2
}
if (par3 == 'First and Seasonal Differences (s)'){
(n <- n -1)
x2 <- array(0, dim=c(n,k), dimnames=list(1:n, paste('(1-B)',colnames(x),sep='')))
for (i in 1:n) {
for (j in 1:k) {
x2[i,j] <- x[i+1,j] - x[i,j]
}
}
x <- x2
(n <- n - par6)
x2 <- array(0, dim=c(n,k), dimnames=list(1:n, paste('(1-Bs)',colnames(x),sep='')))
for (i in 1:n) {
for (j in 1:k) {
x2[i,j] <- x[i+par6,j] - x[i,j]
}
}
x <- x2
}
if(par4 > 0) {
x2 <- array(0, dim=c(n-par4,par4), dimnames=list(1:(n-par4), paste(colnames(x)[par1],'(t-',1:par4,')',sep='')))
for (i in 1:(n-par4)) {
for (j in 1:par4) {
x2[i,j] <- x[i+par4-j,par1]
}
}
x <- cbind(x[(par4+1):n,], x2)
n <- n - par4
}
if(par5 > 0) {
x2 <- array(0, dim=c(n-par5*par6,par5), dimnames=list(1:(n-par5*par6), paste(colnames(x)[par1],'(t-',1:par5,'s)',sep='')))
for (i in 1:(n-par5*par6)) {
for (j in 1:par5) {
x2[i,j] <- x[i+par5*par6-j*par6,par1]
}
}
x <- cbind(x[(par5*par6+1):n,], x2)
n <- n - par5*par6
}
if (par2 == 'Include Seasonal Dummies'){
x2 <- array(0, dim=c(n,par6-1), dimnames=list(1:n, paste('M', seq(1:(par6-1)), sep ='')))
for (i in 1:(par6-1)){
x2[seq(i,n,par6),i] <- 1
}
x <- cbind(x, x2)
}
if (par2 == 'Include Monthly Dummies'){
x2 <- array(0, dim=c(n,11), dimnames=list(1:n, paste('M', seq(1:11), sep ='')))
for (i in 1:11){
x2[seq(i,n,12),i] <- 1
}
x <- cbind(x, x2)
}
if (par2 == 'Include Quarterly Dummies'){
x2 <- array(0, dim=c(n,3), dimnames=list(1:n, paste('Q', seq(1:3), sep ='')))
for (i in 1:3){
x2[seq(i,n,4),i] <- 1
}
x <- cbind(x, x2)
}
(k <- length(x[n,]))
if (par3 == 'Linear Trend'){
x <- cbind(x, c(1:n))
colnames(x)[k+1] <- 't'
}
print(x)
(k <- length(x[n,]))
head(x)
df <- as.data.frame(x)
(mylm <- lm(df))
(mysum <- summary(mylm))
if (n > n25) {
kp3 <- k + 3
nmkm3 <- n - k - 3
gqarr <- array(NA, dim=c(nmkm3-kp3+1,3))
numgqtests <- 0
numsignificant1 <- 0
numsignificant5 <- 0
numsignificant10 <- 0
for (mypoint in kp3:nmkm3) {
j <- 0
numgqtests <- numgqtests + 1
for (myalt in c('greater', 'two.sided', 'less')) {
j <- j + 1
gqarr[mypoint-kp3+1,j] <- gqtest(mylm, point=mypoint, alternative=myalt)$p.value
}
if (gqarr[mypoint-kp3+1,2] < 0.01) numsignificant1 <- numsignificant1 + 1
if (gqarr[mypoint-kp3+1,2] < 0.05) numsignificant5 <- numsignificant5 + 1
if (gqarr[mypoint-kp3+1,2] < 0.10) numsignificant10 <- numsignificant10 + 1
}
gqarr
}
bitmap(file='test0.png')
plot(x[,1], type='l', main='Actuals and Interpolation', ylab='value of Actuals and Interpolation (dots)', xlab='time or index')
points(x[,1]-mysum$resid)
grid()
dev.off()
bitmap(file='test1.png')
plot(mysum$resid, type='b', pch=19, main='Residuals', ylab='value of Residuals', xlab='time or index')
grid()
dev.off()
bitmap(file='test2.png')
sresid <- studres(mylm)
hist(sresid, freq=FALSE, main='Distribution of Studentized Residuals')
xfit<-seq(min(sresid),max(sresid),length=40)
yfit<-dnorm(xfit)
lines(xfit, yfit)
grid()
dev.off()
bitmap(file='test3.png')
densityplot(~mysum$resid,col='black',main='Residual Density Plot', xlab='values of Residuals')
dev.off()
bitmap(file='test4.png')
qqPlot(mylm, main='QQ Plot')
grid()
dev.off()
(myerror <- as.ts(mysum$resid))
bitmap(file='test5.png')
dum <- cbind(lag(myerror,k=1),myerror)
dum
dum1 <- dum[2:length(myerror),]
dum1
z <- as.data.frame(dum1)
print(z)
plot(z,main=paste('Residual Lag plot, lowess, and regression line'), ylab='values of Residuals', xlab='lagged values of Residuals')
lines(lowess(z))
abline(lm(z))
grid()
dev.off()
bitmap(file='test6.png')
acf(mysum$resid, lag.max=length(mysum$resid)/2, main='Residual Autocorrelation Function')
grid()
dev.off()
bitmap(file='test7.png')
pacf(mysum$resid, lag.max=length(mysum$resid)/2, main='Residual Partial Autocorrelation Function')
grid()
dev.off()
bitmap(file='test8.png')
opar <- par(mfrow = c(2,2), oma = c(0, 0, 1.1, 0))
plot(mylm, las = 1, sub='Residual Diagnostics')
par(opar)
dev.off()
if (n > n25) {
bitmap(file='test9.png')
plot(kp3:nmkm3,gqarr[,2], main='Goldfeld-Quandt test',ylab='2-sided p-value',xlab='breakpoint')
grid()
dev.off()
}
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a, 'Multiple Linear Regression - Estimated Regression Equation', 1, TRUE)
a<-table.row.end(a)
myeq <- colnames(x)[1]
myeq <- paste(myeq, '[t] = ', sep='')
for (i in 1:k){
if (mysum$coefficients[i,1] > 0) myeq <- paste(myeq, '+', '')
myeq <- paste(myeq, signif(mysum$coefficients[i,1],6), sep=' ')
if (rownames(mysum$coefficients)[i] != '(Intercept)') {
myeq <- paste(myeq, rownames(mysum$coefficients)[i], sep='')
if (rownames(mysum$coefficients)[i] != 't') myeq <- paste(myeq, '[t]', sep='')
}
}
myeq <- paste(myeq, ' + e[t]')
a<-table.row.start(a)
a<-table.element(a, myeq)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, mywarning)
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable1.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Multiple Linear Regression - Ordinary Least Squares', 6, TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Variable',header=TRUE)
a<-table.element(a,'Parameter',header=TRUE)
a<-table.element(a,'S.D.',header=TRUE)
a<-table.element(a,'T-STAT
H0: parameter = 0',header=TRUE)
a<-table.element(a,'2-tail p-value',header=TRUE)
a<-table.element(a,'1-tail p-value',header=TRUE)
a<-table.row.end(a)
for (i in 1:k){
a<-table.row.start(a)
a<-table.element(a,rownames(mysum$coefficients)[i],header=TRUE)
a<-table.element(a,formatC(signif(mysum$coefficients[i,1],5),format='g',flag='+'))
a<-table.element(a,formatC(signif(mysum$coefficients[i,2],5),format='g',flag=' '))
a<-table.element(a,formatC(signif(mysum$coefficients[i,3],4),format='e',flag='+'))
a<-table.element(a,formatC(signif(mysum$coefficients[i,4],4),format='g',flag=' '))
a<-table.element(a,formatC(signif(mysum$coefficients[i,4]/2,4),format='g',flag=' '))
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable2.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a, 'Multiple Linear Regression - Regression Statistics', 2, TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'Multiple R',1,TRUE)
a<-table.element(a,formatC(signif(sqrt(mysum$r.squared),6),format='g',flag=' '))
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'R-squared',1,TRUE)
a<-table.element(a,formatC(signif(mysum$r.squared,6),format='g',flag=' '))
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'Adjusted R-squared',1,TRUE)
a<-table.element(a,formatC(signif(mysum$adj.r.squared,6),format='g',flag=' '))
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'F-TEST (value)',1,TRUE)
a<-table.element(a,formatC(signif(mysum$fstatistic[1],6),format='g',flag=' '))
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'F-TEST (DF numerator)',1,TRUE)
a<-table.element(a, signif(mysum$fstatistic[2],6))
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'F-TEST (DF denominator)',1,TRUE)
a<-table.element(a, signif(mysum$fstatistic[3],6))
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'p-value',1,TRUE)
a<-table.element(a,formatC(signif(1-pf(mysum$fstatistic[1],mysum$fstatistic[2],mysum$fstatistic[3]),6),format='g',flag=' '))
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'Multiple Linear Regression - Residual Statistics', 2, TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'Residual Standard Deviation',1,TRUE)
a<-table.element(a,formatC(signif(mysum$sigma,6),format='g',flag=' '))
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'Sum Squared Residuals',1,TRUE)
a<-table.element(a,formatC(signif(sum(myerror*myerror),6),format='g',flag=' '))
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable3.tab')
myr <- as.numeric(mysum$resid)
myr
a <-table.start()
a <- table.row.start(a)
a <- table.element(a,'Menu of Residual Diagnostics',2,TRUE)
a <- table.row.end(a)
a <- table.row.start(a)
a <- table.element(a,'Description',1,TRUE)
a <- table.element(a,'Link',1,TRUE)
a <- table.row.end(a)
a <- table.row.start(a)
a <-table.element(a,'Histogram',1,header=TRUE)
a <- table.element(a,hyperlink( paste('https://supernova.wessa.net/rwasp_histogram.wasp?convertgetintopost=1&data=',paste(as.character(mysum$resid),sep='',collapse=' '),sep='') ,'Compute','Click here to examine the Residuals.'),1)
a <- table.row.end(a)
a <- table.row.start(a)
a <-table.element(a,'Central Tendency',1,header=TRUE)
a <- table.element(a,hyperlink( paste('https://supernova.wessa.net/rwasp_centraltendency.wasp?convertgetintopost=1&data=',paste(as.character(mysum$resid),sep='',collapse=' '),sep='') ,'Compute','Click here to examine the Residuals.'),1)
a <- table.row.end(a)
a <- table.row.start(a)
a <-table.element(a,'QQ Plot',1,header=TRUE)
a <- table.element(a,hyperlink( paste('https://supernova.wessa.net/rwasp_fitdistrnorm.wasp?convertgetintopost=1&data=',paste(as.character(mysum$resid),sep='',collapse=' '),sep='') ,'Compute','Click here to examine the Residuals.'),1)
a <- table.row.end(a)
a <- table.row.start(a)
a <-table.element(a,'Kernel Density Plot',1,header=TRUE)
a <- table.element(a,hyperlink( paste('https://supernova.wessa.net/rwasp_density.wasp?convertgetintopost=1&data=',paste(as.character(mysum$resid),sep='',collapse=' '),sep='') ,'Compute','Click here to examine the Residuals.'),1)
a <- table.row.end(a)
a <- table.row.start(a)
a <-table.element(a,'Skewness/Kurtosis Test',1,header=TRUE)
a <- table.element(a,hyperlink( paste('https://supernova.wessa.net/rwasp_skewness_kurtosis.wasp?convertgetintopost=1&data=',paste(as.character(mysum$resid),sep='',collapse=' '),sep='') ,'Compute','Click here to examine the Residuals.'),1)
a <- table.row.end(a)
a <- table.row.start(a)
a <-table.element(a,'Skewness-Kurtosis Plot',1,header=TRUE)
a <- table.element(a,hyperlink( paste('https://supernova.wessa.net/rwasp_skewness_kurtosis_plot.wasp?convertgetintopost=1&data=',paste(as.character(mysum$resid),sep='',collapse=' '),sep='') ,'Compute','Click here to examine the Residuals.'),1)
a <- table.row.end(a)
a <- table.row.start(a)
a <-table.element(a,'Harrell-Davis Plot',1,header=TRUE)
a <- table.element(a,hyperlink( paste('https://supernova.wessa.net/rwasp_harrell_davis.wasp?convertgetintopost=1&data=',paste(as.character(mysum$resid),sep='',collapse=' '),sep='') ,'Compute','Click here to examine the Residuals.'),1)
a <- table.row.end(a)
a <- table.row.start(a)
a <-table.element(a,'Bootstrap Plot -- Central Tendency',1,header=TRUE)
a <- table.element(a,hyperlink( paste('https://supernova.wessa.net/rwasp_bootstrapplot1.wasp?convertgetintopost=1&data=',paste(as.character(mysum$resid),sep='',collapse=' '),sep='') ,'Compute','Click here to examine the Residuals.'),1)
a <- table.row.end(a)
a <- table.row.start(a)
a <-table.element(a,'Blocked Bootstrap Plot -- Central Tendency',1,header=TRUE)
a <- table.element(a,hyperlink( paste('https://supernova.wessa.net/rwasp_bootstrapplot.wasp?convertgetintopost=1&data=',paste(as.character(mysum$resid),sep='',collapse=' '),sep='') ,'Compute','Click here to examine the Residuals.'),1)
a <- table.row.end(a)
a <- table.row.start(a)
a <-table.element(a,'(Partial) Autocorrelation Plot',1,header=TRUE)
a <- table.element(a,hyperlink( paste('https://supernova.wessa.net/rwasp_autocorrelation.wasp?convertgetintopost=1&data=',paste(as.character(mysum$resid),sep='',collapse=' '),sep='') ,'Compute','Click here to examine the Residuals.'),1)
a <- table.row.end(a)
a <- table.row.start(a)
a <-table.element(a,'Spectral Analysis',1,header=TRUE)
a <- table.element(a,hyperlink( paste('https://supernova.wessa.net/rwasp_spectrum.wasp?convertgetintopost=1&data=',paste(as.character(mysum$resid),sep='',collapse=' '),sep='') ,'Compute','Click here to examine the Residuals.'),1)
a <- table.row.end(a)
a <- table.row.start(a)
a <-table.element(a,'Tukey lambda PPCC Plot',1,header=TRUE)
a <- table.element(a,hyperlink( paste('https://supernova.wessa.net/rwasp_tukeylambda.wasp?convertgetintopost=1&data=',paste(as.character(mysum$resid),sep='',collapse=' '),sep='') ,'Compute','Click here to examine the Residuals.'),1)
a <- table.row.end(a)
a <- table.row.start(a)
a <-table.element(a,'Box-Cox Normality Plot',1,header=TRUE)
a <- table.element(a,hyperlink( paste('https://supernova.wessa.net/rwasp_boxcoxnorm.wasp?convertgetintopost=1&data=',paste(as.character(mysum$resid),sep='',collapse=' '),sep='') ,'Compute','Click here to examine the Residuals.'),1)
a <- table.row.end(a)
a <- table.row.start(a)
a <- table.element(a,'Summary Statistics',1,header=TRUE)
a <- table.element(a,hyperlink( paste('https://supernova.wessa.net/rwasp_summary1.wasp?convertgetintopost=1&data=',paste(as.character(mysum$resid),sep='',collapse=' '),sep='') ,'Compute','Click here to examine the Residuals.'),1)
a <- table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable7.tab')
if(n < 200) {
a<-table.start()
a<-table.row.start(a)
a<-table.element(a, 'Multiple Linear Regression - Actuals, Interpolation, and Residuals', 4, TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'Time or Index', 1, TRUE)
a<-table.element(a, 'Actuals', 1, TRUE)
a<-table.element(a, 'Interpolation
Forecast', 1, TRUE)
a<-table.element(a, 'Residuals
Prediction Error', 1, TRUE)
a<-table.row.end(a)
for (i in 1:n) {
a<-table.row.start(a)
a<-table.element(a,i, 1, TRUE)
a<-table.element(a,formatC(signif(x[i],6),format='g',flag=' '))
a<-table.element(a,formatC(signif(x[i]-mysum$resid[i],6),format='g',flag=' '))
a<-table.element(a,formatC(signif(mysum$resid[i],6),format='g',flag=' '))
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable4.tab')
if (n > n25) {
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Goldfeld-Quandt test for Heteroskedasticity',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'p-values',header=TRUE)
a<-table.element(a,'Alternative Hypothesis',3,header=TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'breakpoint index',header=TRUE)
a<-table.element(a,'greater',header=TRUE)
a<-table.element(a,'2-sided',header=TRUE)
a<-table.element(a,'less',header=TRUE)
a<-table.row.end(a)
for (mypoint in kp3:nmkm3) {
a<-table.row.start(a)
a<-table.element(a,mypoint,header=TRUE)
a<-table.element(a,formatC(signif(gqarr[mypoint-kp3+1,1],6),format='g',flag=' '))
a<-table.element(a,formatC(signif(gqarr[mypoint-kp3+1,2],6),format='g',flag=' '))
a<-table.element(a,formatC(signif(gqarr[mypoint-kp3+1,3],6),format='g',flag=' '))
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable5.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Description',header=TRUE)
a<-table.element(a,'# significant tests',header=TRUE)
a<-table.element(a,'% significant tests',header=TRUE)
a<-table.element(a,'OK/NOK',header=TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'1% type I error level',header=TRUE)
a<-table.element(a,signif(numsignificant1,6))
a<-table.element(a,formatC(signif(numsignificant1/numgqtests,6),format='g',flag=' '))
if (numsignificant1/numgqtests < 0.01) dum <- 'OK' else dum <- 'NOK'
a<-table.element(a,dum)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'5% type I error level',header=TRUE)
a<-table.element(a,signif(numsignificant5,6))
a<-table.element(a,signif(numsignificant5/numgqtests,6))
if (numsignificant5/numgqtests < 0.05) dum <- 'OK' else dum <- 'NOK'
a<-table.element(a,dum)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'10% type I error level',header=TRUE)
a<-table.element(a,signif(numsignificant10,6))
a<-table.element(a,signif(numsignificant10/numgqtests,6))
if (numsignificant10/numgqtests < 0.1) dum <- 'OK' else dum <- 'NOK'
a<-table.element(a,dum)
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable6.tab')
}
}
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Ramsey RESET F-Test for powers (2 and 3) of fitted values',1,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
reset_test_fitted <- resettest(mylm,power=2:3,type='fitted')
a<-table.element(a,paste('
',RC.texteval('reset_test_fitted'),'
',sep=''))
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Ramsey RESET F-Test for powers (2 and 3) of regressors',1,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
reset_test_regressors <- resettest(mylm,power=2:3,type='regressor')
a<-table.element(a,paste('
',RC.texteval('reset_test_regressors'),'
',sep=''))
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Ramsey RESET F-Test for powers (2 and 3) of principal components',1,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
reset_test_principal_components <- resettest(mylm,power=2:3,type='princomp')
a<-table.element(a,paste('
',RC.texteval('reset_test_principal_components'),'
',sep=''))
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable8.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Variance Inflation Factors (Multicollinearity)',1,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
vif <- vif(mylm)
a<-table.element(a,paste('
',RC.texteval('vif'),'
',sep=''))
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable9.tab')