From 43a24e91e139a66fb81bba067e8113d8d0681df3 Mon Sep 17 00:00:00 2001 From: andrewdolman Date: Fri, 25 Jul 2025 18:09:49 +0200 Subject: [PATCH 1/4] fix CI calculation to cover true spec when applied to PSD estimates --- R/AddConfInterval.R | 15 ++++++++++++--- man/AddConfInterval.Rd | 10 +++++++++- tests/testthat/test-AddConfInterval.R | 11 +++++++---- 3 files changed, 28 insertions(+), 8 deletions(-) diff --git a/R/AddConfInterval.R b/R/AddConfInterval.R index 9f17c7d..4158d2d 100644 --- a/R/AddConfInterval.R +++ b/R/AddConfInterval.R @@ -14,11 +14,19 @@ #' @return the input object including the new list elements \code{lim.1} and #' \code{lim.2} giving the upper and lower bound of the confidence interval, #' respectively. +#' @description +#' Calculated confidence intervals give the interval within which the true +#' spectrum should lie with frequency 1-p. This behaviour changed with version +#' 0.33. +#' +#' Previous versions returned the interval which, when applied to the 'true' spectrum, would contain new spectral estimates +#' with frequency 1-p. +#' #' @author Thomas Laepple #' @examples #' #' N.R <- 1000 -#' N.T <- 100 +#' N.T <- 1000 #' save.spec <- matrix(NA, N.T / 2, N.R) #' for (i.R in 1 : N.R) { #' save.spec[, i.R] <- SpecMTM(ts(SimPowerlaw(1, N.T)))$spec @@ -39,8 +47,9 @@ AddConfInterval <- function(spec, pval = 0.05, MINVALUE = 1e-10) { is.spectrum(spec) - spec$lim.1 <- spec$spec * qchisq(c(1 - pval / 2), spec$dof) / (spec$dof) - spec$lim.2 <- spec$spec * qchisq(c(pval / 2), spec$dof) / (spec$dof) + spec$lim.1 <- spec$spec * 1 / (qchisq(c(pval / 2), spec$dof) / (spec$dof)) + spec$lim.2 <- spec$spec * 1 / (qchisq(c(1 - pval / 2), spec$dof) / (spec$dof)) + spec$lim.1[spec$lim.1 < MINVALUE] <- MINVALUE spec$lim.2[spec$lim.2 < MINVALUE] <- MINVALUE diff --git a/man/AddConfInterval.Rd b/man/AddConfInterval.Rd index 09efe07..d2fd0f8 100644 --- a/man/AddConfInterval.Rd +++ b/man/AddConfInterval.Rd @@ -23,6 +23,14 @@ the input object including the new list elements \code{lim.1} and respectively. } \description{ +Calculated confidence intervals give the interval within which the true +spectrum should lie with frequency 1-p. This behaviour changed with version +0.33. + +Previous versions returned the interval which, when applied to the 'true' spectrum, would contain new spectral estimates +with frequency 1-p. +} +\details{ Add a confidence interval to a spectral estimate assuming the uncertainty of the spectral estimates follows a chi-squared distribution with the degrees of the freedom from the spectral estimates. @@ -30,7 +38,7 @@ the freedom from the spectral estimates. \examples{ N.R <- 1000 -N.T <- 100 +N.T <- 1000 save.spec <- matrix(NA, N.T / 2, N.R) for (i.R in 1 : N.R) { save.spec[, i.R] <- SpecMTM(ts(SimPowerlaw(1, N.T)))$spec diff --git a/tests/testthat/test-AddConfInterval.R b/tests/testthat/test-AddConfInterval.R index bb8fdb9..e1451c4 100644 --- a/tests/testthat/test-AddConfInterval.R +++ b/tests/testthat/test-AddConfInterval.R @@ -10,8 +10,10 @@ test_that("adding the confidence interval is correct.", { pval <- 0.05 - lim1 <- spec * qchisq(1 - pval / 2, dof) / dof - lim2 <- spec * qchisq(pval / 2, dof) / dof + lim1 <- spec * 1 / (qchisq(c(pval / 2), dof) / (dof)) + lim2 <- spec * 1 / (qchisq(c(1 - pval / 2), dof) / (dof)) + + lim1[lim1 < MINVALUE] <- MINVALUE lim2[lim2 < MINVALUE] <- MINVALUE @@ -23,8 +25,9 @@ test_that("adding the confidence interval is correct.", { MINVALUE <- 1. pval <- 0.1 - lim1 <- spec * qchisq(1 - pval / 2, dof) / dof - lim2 <- spec * qchisq(pval / 2, dof) / dof + lim1 <- spec * 1 / (qchisq(c(pval / 2), dof) / (dof)) + lim2 <- spec * 1 / (qchisq(c(1 - pval / 2), dof) / (dof)) + lim1[lim1 < MINVALUE] <- MINVALUE lim2[lim2 < MINVALUE] <- MINVALUE From 4b9d04edee167f77de539b164da9617d04b11c4c Mon Sep 17 00:00:00 2001 From: andrewdolman Date: Fri, 25 Jul 2025 18:11:23 +0200 Subject: [PATCH 2/4] improvements to DOF calculations in FilterSpec and FilterLogSpec. Now account for non independence of ordinates from existing filters or tapering. --- R/FilterSpec.R | 51 +++++++++++++++++++++++++++++--------------- man/FilterSpec.Rd | 4 ++-- man/FilterSpecLog.Rd | 4 ++-- 3 files changed, 38 insertions(+), 21 deletions(-) diff --git a/R/FilterSpec.R b/R/FilterSpec.R index a01914d..0212f8b 100644 --- a/R/FilterSpec.R +++ b/R/FilterSpec.R @@ -1,11 +1,14 @@ #' Filter a Power Spectrum Object #' #' @param spec A spec object +#' @param method single integer for choosing an endpoint constraint method. +#' Available choices are integers 0-4, see details of \code{\link{ApplyFilter}} #' @param keep_low_f Keep filtered (smoothed) low frequencies or replace with unfiltered #' @inheritParams stats::spec.pgram #' @inheritParams ApplyFilter #' @return A spec object (list) #' @family functions to filter / smooth spectra +#' @author Andrew Dolman #' @export #' #' @examples @@ -57,34 +60,47 @@ FilterSpec <- function(spec, spans, method = 3, keep_low_f = TRUE) { kernel <- stats::kernel("modified.daniell", spans %/% 2) filter <- kernel[-kernel$m:kernel$m] - spec_filt <- ApplyFilter(spec$spec, filter = filter, method = method) + spec_filt <- ApplyFilter(spec$spec, filter = filter, + method = method) if (keep_low_f == FALSE) { # replace filtered spec with original in area where freqs have been reflected i <- 1:ceiling(length(filter) / 2) spec_filt[i] <- spec$spec[i] - iend <- length(spec$freq) - (i-1) - spec_filt[iend] <- spec$spec[iend] - } spec$spec <- as.numeric(spec_filt) - # degrees of freedom of the kernel - df.kern <- stats::df.kernel(kernel) - spec$dof <- df.kern * spec$dof / 2 + ## New degrees of freedom of the filtered spec + ## This can be estimated using the convolution of the new filter and an + ## approximate equivalent filter to the existing DOF - if (keep_low_f == FALSE) { + # Approximate an equivalent filter to the existing DOF + fl <- round(mean(spec$dof)/2) + if ((fl%%2) == 0) fl <- fl-1 #ensure that the filter length is odd + + prior_filter <- rep(1/fl, fl) + + combined_filter <- convolve(filter, prior_filter, type = "open") + + m3 <- floor(length(combined_filter)/2) + kernel3 <- combined_filter[1:ceiling(length(combined_filter)/2)] + kernel3 <- kernel(coef = sort(kernel3, decreasing = TRUE), m = m3) + + new.dof <- stats::df.kernel(kernel3) + + spec$dof <- rep(new.dof, length(spec$freq)) + + if (keep_low_f == FALSE) { i <- 1:ceiling(length(filter) / 2) spec$dof[i] <- dof0[i] iend <- length(spec$freq) - (i-1) spec$dof[iend] <- dof0[iend] - } # Adjust DOF in reflected filter region @@ -116,7 +132,6 @@ FilterSpec <- function(spec, spans, method = 3, keep_low_f = TRUE) { spec <- AddConfInterval(spec) - return(spec) } @@ -126,11 +141,12 @@ FilterSpec <- function(spec, spans, method = 3, keep_low_f = TRUE) { #' #' @param spec A spec object #' @inheritParams LogSmooth -#' @inheritParams ApplyFilter -#' +#' @param method single integer for choosing an endpoint constraint method. +#' Available choices are integers 0-4, see details of \code{\link{ApplyFilter}} #' @return A spec object (list) #' @family functions to filter / smooth spectra #' @export +#' @author Andrew Dolman #' @examples #' library(PaleoSpec) #' @@ -219,7 +235,7 @@ FilterSpecLog <- function(spec, dof0 <- spec$dof # Gets the difference in delta_f for the log and standard freq axis - NpF <- function(freq, fw, df){ + NpF2 <- function(freq, fw, df){ posdiff <- (exp(log(freq) + df) - freq) negdiff <- (freq - exp(log(freq) - df)) @@ -228,9 +244,12 @@ FilterSpecLog <- function(spec, 2 * fw * (fdiff/df) * 1/(2*max(freq)) } - df.logkern <- NpF(spec$freq, length(filter), df = diff(freq_logspace[1:2])) - spec$dof <- spec$dof + df.mod * df.logkern * spec$dof/2 + deltaf.logkern <- NpF2(spec$freq, length(filter), df = diff(freq_logspace[1:2])) + + # this would be more accurate as the dof of the convolution of the filter not sum of the old and new dofs + spec$dof <- df.mod * deltaf.logkern + spec$dof + spec$shape <- spec$dof/2 spec$spans <- paste(spans, collapse = ",") @@ -244,7 +263,5 @@ FilterSpecLog <- function(spec, spec <- AddConfInterval(spec) - - return(spec) } diff --git a/man/FilterSpec.Rd b/man/FilterSpec.Rd index e7c168c..98debf5 100644 --- a/man/FilterSpec.Rd +++ b/man/FilterSpec.Rd @@ -12,8 +12,8 @@ FilterSpec(spec, spans, method = 3, keep_low_f = TRUE) \item{spans}{vector of odd integers giving the widths of modified Daniell smoothers to be used to smooth the periodogram.} -\item{method}{single integer for choosing an endpoint constraint method; -available choices are integers 0-4, see details.} +\item{method}{single integer for choosing an endpoint constraint method. +Available choices are integers 0-4, see details of \code{\link{ApplyFilter}}} \item{keep_low_f}{Keep filtered (smoothed) low frequencies or replace with unfiltered} } diff --git a/man/FilterSpecLog.Rd b/man/FilterSpecLog.Rd index a82e2eb..d635436 100644 --- a/man/FilterSpecLog.Rd +++ b/man/FilterSpecLog.Rd @@ -11,8 +11,8 @@ FilterSpecLog(spec, df.log = 0.05, spans = NULL, method = 3, f.res = 10) \item{df.log}{width of the smoother in log units} -\item{method}{single integer for choosing an endpoint constraint method; -available choices are integers 0-4, see details.} +\item{method}{single integer for choosing an endpoint constraint method. +Available choices are integers 0-4, see details of \code{\link{ApplyFilter}}} } \value{ A spec object (list) From 09a11390ec5fc005d4cfe00a7130c22da57d60ab Mon Sep 17 00:00:00 2001 From: andrewdolman Date: Mon, 28 Jul 2025 14:42:33 +0200 Subject: [PATCH 3/4] update documentation of AddConfInterval --- R/AddConfInterval.R | 50 ++++++++++++++++++++++++----------- man/AddConfInterval.Rd | 50 ++++++++++++++++++++++++----------- man/FilterSpec.Rd | 3 +++ man/FilterSpecLog.Rd | 3 +++ tests/testthat/test-gg_spec.R | 3 ++- 5 files changed, 78 insertions(+), 31 deletions(-) diff --git a/R/AddConfInterval.R b/R/AddConfInterval.R index 4158d2d..70b29e0 100644 --- a/R/AddConfInterval.R +++ b/R/AddConfInterval.R @@ -22,25 +22,45 @@ #' Previous versions returned the interval which, when applied to the 'true' spectrum, would contain new spectral estimates #' with frequency 1-p. #' -#' @author Thomas Laepple +#' @author Thomas Laepple, Andrew Dolman #' @examples #' -#' N.R <- 1000 -#' N.T <- 1000 -#' save.spec <- matrix(NA, N.T / 2, N.R) -#' for (i.R in 1 : N.R) { -#' save.spec[, i.R] <- SpecMTM(ts(SimPowerlaw(1, N.T)))$spec -#' } +#' alpha <- 0.1 +#' beta <- 1 +#' +#' spec_sim <- SpecMTM(ts(SimPLS(N = 1e03, beta = beta, alpha = alpha))) +#' +#' # Using a large nominal p value of 0.25 to reduce variation between random +#' # timeseries +#' +#' # The true spec should be p/2 times above the lower CI, and p/2 below the upper CI +#' +#' nominal_p <- 0.25 +#' spec_sim <- AddConfInterval(spec_sim, pval = nominal_p) +#' true_spec <- alpha * spec_sim$freq^-beta +#' +#' LPlot(spec_sim) +#' abline(a = log10(alpha), b = -beta, lty = 2, col = "red") #' -#' q.empirical <- apply(save.spec, 1, quantile, c(0.025, 0.975)) -#' testspec <- SpecMTM(ts(SimPowerlaw(1, N.T))) +#' SpecCoverage <- function(spec, true_spec){ +#' +#' stopifnot("lim.1" %in% names(spec)) +#' +#' n <- length(spec$freq) +#' below <- sum(spec$lim.1 < true_spec) +#' above <- sum(spec$lim.2 > true_spec) +#' +#' total <- below + above +#' +#' count <- list(n = n, above = above, below = below, total = total, +#' p_above = above / n, p_below = below / n, +#' p_total = total / n, +#' nominal_pval = spec$pval) +#' +#' as.data.frame(count) +#' } #' -#' LPlot(AddConfInterval(testspec), ylim = c(0.05, 10)) -#' lines(testspec$freq, q.empirical[1, ], col = "red") -#' lines(testspec$freq, q.empirical[2, ],col = "red") -#' legend("bottomleft", lwd = 2, col = c("black", "red"), -#' legend = c("one realization with chisq conf intervals", -#' "MC confidence intervals")) +#' SpecCoverage(spec_sim, true_spec) #' #' @export AddConfInterval <- function(spec, pval = 0.05, MINVALUE = 1e-10) { diff --git a/man/AddConfInterval.Rd b/man/AddConfInterval.Rd index d2fd0f8..6ec4df9 100644 --- a/man/AddConfInterval.Rd +++ b/man/AddConfInterval.Rd @@ -37,24 +37,44 @@ the freedom from the spectral estimates. } \examples{ -N.R <- 1000 -N.T <- 1000 -save.spec <- matrix(NA, N.T / 2, N.R) -for (i.R in 1 : N.R) { - save.spec[, i.R] <- SpecMTM(ts(SimPowerlaw(1, N.T)))$spec -} +alpha <- 0.1 +beta <- 1 + +spec_sim <- SpecMTM(ts(SimPLS(N = 1e03, beta = beta, alpha = alpha))) + +# Using a large nominal p value of 0.25 to reduce variation between random +# timeseries + +# The true spec should be p/2 times above the lower CI, and p/2 below the upper CI + +nominal_p <- 0.25 +spec_sim <- AddConfInterval(spec_sim, pval = nominal_p) +true_spec <- alpha * spec_sim$freq^-beta + +LPlot(spec_sim) +abline(a = log10(alpha), b = -beta, lty = 2, col = "red") -q.empirical <- apply(save.spec, 1, quantile, c(0.025, 0.975)) -testspec <- SpecMTM(ts(SimPowerlaw(1, N.T))) +SpecCoverage <- function(spec, true_spec){ + + stopifnot("lim.1" \%in\% names(spec)) + + n <- length(spec$freq) + below <- sum(spec$lim.1 < true_spec) + above <- sum(spec$lim.2 > true_spec) + + total <- below + above + + count <- list(n = n, above = above, below = below, total = total, + p_above = above / n, p_below = below / n, + p_total = total / n, + nominal_pval = spec$pval) + + as.data.frame(count) +} -LPlot(AddConfInterval(testspec), ylim = c(0.05, 10)) -lines(testspec$freq, q.empirical[1, ], col = "red") -lines(testspec$freq, q.empirical[2, ],col = "red") -legend("bottomleft", lwd = 2, col = c("black", "red"), - legend = c("one realization with chisq conf intervals", - "MC confidence intervals")) +SpecCoverage(spec_sim, true_spec) } \author{ -Thomas Laepple +Thomas Laepple, Andrew Dolman } diff --git a/man/FilterSpec.Rd b/man/FilterSpec.Rd index 98debf5..61f93ba 100644 --- a/man/FilterSpec.Rd +++ b/man/FilterSpec.Rd @@ -64,4 +64,7 @@ Other functions to filter / smooth spectra: \code{\link{FilterSpecLog}()}, \code{\link{LogSmooth}()} } +\author{ +Andrew Dolman +} \concept{functions to filter / smooth spectra} diff --git a/man/FilterSpecLog.Rd b/man/FilterSpecLog.Rd index d635436..82f33a6 100644 --- a/man/FilterSpecLog.Rd +++ b/man/FilterSpecLog.Rd @@ -63,4 +63,7 @@ Other functions to filter / smooth spectra: \code{\link{FilterSpec}()}, \code{\link{LogSmooth}()} } +\author{ +Andrew Dolman +} \concept{functions to filter / smooth spectra} diff --git a/tests/testthat/test-gg_spec.R b/tests/testthat/test-gg_spec.R index efe38d8..899deaf 100644 --- a/tests/testthat/test-gg_spec.R +++ b/tests/testthat/test-gg_spec.R @@ -11,7 +11,7 @@ sp1 <- SpecMTM(ts1) sp2 <- SpecMTM(ts2) # 1 as spec_df -sp1_df <- as.data.frame(sp1) +sp1_df <- Spec2DF(sp1) # list of spectra, 1 is a spec_df sp_lst <- list(sp2 = sp2, sp1_df = sp1_df) @@ -64,3 +64,4 @@ test_that("removeFirst and removeLast operate on a per spec_id basis", { expect_that(nrow(g0$data) - nrow(gl3$data), equals(6)) }) + From d2d76df60fffc031c2e9b0a207acfdde0a9330af Mon Sep 17 00:00:00 2001 From: andrewdolman Date: Tue, 29 Jul 2025 14:01:03 +0200 Subject: [PATCH 4/4] bump version number, news, and update readme --- DESCRIPTION | 2 +- NEWS.md | 11 +++++++++++ man/figures/README-unnamed-chunk-10-1.png | Bin 306735 -> 304188 bytes man/figures/README-unnamed-chunk-5-1.png | Bin 195050 -> 195560 bytes man/figures/README-unnamed-chunk-6-1.png | Bin 266866 -> 268040 bytes man/figures/README-unnamed-chunk-9-1.png | Bin 278904 -> 275584 bytes 6 files changed, 12 insertions(+), 1 deletion(-) diff --git a/DESCRIPTION b/DESCRIPTION index b102dfd..0c77cb5 100644 --- a/DESCRIPTION +++ b/DESCRIPTION @@ -1,6 +1,6 @@ Package: PaleoSpec Title: Spectral tools for the ECUS group -Version: 0.32 +Version: 0.33 Authors@R: c( person("Thomas", "Laepple", email = "tlaepple@awi.de", role = c("aut", "cre")), person("Thomas", "Muench", email = "tmuench@awi.de", role = c("aut")), diff --git a/NEWS.md b/NEWS.md index f4c4208..8d43f92 100644 --- a/NEWS.md +++ b/NEWS.md @@ -1,3 +1,14 @@ +# PaleoSpec 0.33 + +* AddConfInterval calculation changed calculated confidence intervals give the + interval within which the true spectrum should lie with frequency 1-p. + Previous versions returned the interval which, when applied to the 'true' + spectrum, would contain new spectral estimates with frequency 1-p. + +* Improvements to calculation of DOF in FilterSpec and FilterSpecLog. 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