Description Usage Arguments Details Value Author(s) References See Also Examples
This function is used to test the existence of the periodicity for a short time series (length<=100). Likelihood ratio tests under the Gaussian or the Laplace assumptions are provided with the response surface method implemented for efficiently obtaining accurate p-values.
1 |
z |
A series or a matrix containg series as columns |
method |
The statistical test to be used. See details for more information. |
multiple |
Indicating whether z contains multiple series. |
The null hypothesis is set as no peridicities, H0: f=0. Discriptions of different test statistics (methods) are as follow:
LS
: The -2 loglikelihood ratio test statistic based on
the likelihood ratio test with normal noises,
where the p-values are efficiently computed by
the response surface method.
L1
: The -2 loglikelihood ratio test statistic based on
the likelihood ratio test with Laplace noises,
where the p-values are efficiently computed by
the response surface method.
Object of class "Htest" produced.
An object of class "Htest" is a list containing the following components:
obsStat |
Vector containing the observed test statistics. |
pvalue |
Vector containing the p-values of the selected tests. |
freq |
Vector containing the estimated frequencies. |
Yuanhao Lai and A.I. McLeod
Islam, M.S. (2008). Peridocity, Change Detection and Prediction in Microarrays. Ph.D. Thesis, The University of Western Ontario.
Li, T. H. (2010). A nonlinear method for robust spectral analysis. Signal Processing, IEEE Transactions on, 58(5), 2466-2474.
MacKinnon, James (2001) : Computing numerical distribution functions in econometrics, Queen's Economics Department Working Paper, No. 1037.
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 | # Simulate the harmonic regression model with standard Gaussian error terms
set.seed(193)
# Non-Fourier frequency
z <- simHReg(n = 14, f=2/10, A = 2, B = 1, model="Gaussian",sig=1)
ptestReg(z,method = "LS") #Normal likelihood ratio test
ptestReg(z,method = "L1") #Laplace likelihood ratio test
fitHReg(z, algorithm="exact") #the nls fitted result
# Performe tests on the alpha factor experiment
data(alpha)
## Eliminate genes with missing observations
alpha.nonNA <- alpha[complete.cases(alpha),]
## Using the multiple option to do the test for all the genes
## Transpose the data set so that each column stands for a gene
alpha.nonNA <- t(alpha.nonNA)
result <- ptestReg(alpha.nonNA, method = "LS",multiple=TRUE)
str(result)
# The movtivating example: gene ORF06806 in Cc
data(Cc)
x <- Cc[which(rownames(Cc)=="ORF06806"),]
plot(1:length(x),x,type="b", main="ORF06806",
xlab="time",ylab="Gene expression")
ptestg(x,method="Fisher") #Fail to detect the periodicity
ptestReg(x,method="LS") #The periodicity is significantly not zero
ptestReg(x,method="L1") #The periodicity is significantly not zero
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