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Type Package Title Bootstrapped Differences of Time Series Version 0.1.19 Date 2018-03-05 Package bdots March 12, 2018 Author Michael Seedorff, Jacob Oleson, Grant Brown, Joseph Cavanaugh, and Bob McMurray Maintainer Michael Seedorff <michael-seedorff@uiowa.edu> Depends nlme, mvtnorm, Matrix Imports doparallel, dorng, foreach LazyData FALSE Analyze differences among time series curves with p-value adjustment for multiple comparisons introduced in Oleson et al (2015) <DOI:10.1177/0962280215607411>. License GPL (>= 3) NeedsCompilation no Repository CRAN Date/Publication 2018-03-12 04:23:29 UTC R topics documented: bdots.write.csv....................................... 2 Boostrap Step........................................ 3 ci.............................................. 4 ests.plot........................................... 5 find.mod.alpha....................................... 6 Fitting Step......................................... 7 Print Fits........................................... 8 Refitting Step........................................ 9 replot............................................ 10 subs.delete.......................................... 11 subs.plot........................................... 12 Index 14 1

2 bdots.write.csv bdots.write.csv Write to CSV Write bootstrapped estimates and confidence intervals to csv bdots.write.csv(part1.list, part2.list, file, agg = TRUE,...) part1.list list. Output from doublegauss.fit part2.list list. Output from doublegauss.boot file Name of file to write to agg Whether to aggregate the data.... Further arguments to write.csv Write raw group averages, bootstrapped estimates, and confidence intervals to csv NULL There are no further notes ci.1 <- subset(ci, ci$looktype == "Target") ci.1$group <- ci.1$protocol out.1 <- logistic.fit(ci.1, 4) out.2 <- logistic.boot(out.1) bdots.write.csv(out.1, out.2, "CIOutput.csv", row.names = FALSE)

Boostrap Step 3 Boostrap Step Bootstrap on the Fitted Parameters Bootstrap on the fitted parameters, plot the estimates, and highlight the significant regions doublegauss.boot(part1.list, seed = new.seed(), alpha = 0.05, paired = FALSE, N.iter = 1000, cores = 1, p.adj = "oleson", test.spots = NULL, time.test = NULL, test.params = FALSE) logistic.boot(part1.list, seed = new.seed(), alpha = 0.05, paired = FALSE, N.iter = 1000, cores = 1, p.adj = "oleson", test.spots = NULL, time.test = NULL, test.params = FALSE) part1.list seed alpha paired N.iter cores p.adj test.spots time.test test.params list. Output from doublegauss.fit integer. What to set seed at numeric (Between 0 and 1). Probability of familywise Type I Error boolean. Whether the same subjects are in both data sets numeric (positive integer). Number of bootstrap iterations to run integer. Number of cores on the localhost to use Options: oleson, fdr, none numeric. Specify specific x-values for testing at numeric. Specify individual time points to conduct t-tests at without any p-value correction boolean. Whether to test for significant differences in group mean parameter estimates. Performs a 2-sample t-test with equal variance assumption if paired = FALSE. If paired = TRUE, performs a paired t-test. Bootstrap on the fitted parameters, plot the estimates, and highlight the significant regions List: for input in replot There are no further notes

4 ci ci.1 <- subset(ci, ci$looktype == "Target") ci.1$group <- ci.1$protocol out.1 <- logistic.fit(ci.1, 4) out.2 <- logistic.boot(out.1) replot(out.2, bucket.lim = c(0, 1)) ci.2 <- subset(ci, ci$looktype == "Cohort" ci$looktype == "Unrelated") ci.2$group <- ci.2$protocol ci.2$curve <- ifelse(ci.2$looktype == "Cohort", 1, 2) out.1 <- doublegauss.fit(ci.2, 4, diffs = TRUE) out.1 <- doublegauss.refit(out.1, subj = c(13, 23), group = c(2, 2), curves = c(2, 2), cor = c(false, FALSE)) out.2 <- doublegauss.boot(out.1) replot(out.2, ylim = c(-0.01, 0.1), bucket.lim = c(0, 0.08)) ci Eyetracking Data from Normal Hearing Individuals and those with Cochlear Implants This data set has stuff on CIs and NHs. Provide more info here. ci Format A matrix of values References Farris-Trimble, A., McMurray, B., Cigrand, N. and Tomblin, J.B. (2014) The process of spoken word recognition in the face of signal degradation: Cochlear implant users and normal-hearing listeners. Journal of Experimental Psychology: Human Perception and Performance, 40(1), 308-327

ests.plot 5 ests.plot Plot Parameter Estimates Plots of a histogram of the parameter estimates ests.plot(part1.list) part1.list Output from doublegauss.fit or logistic.fit Plots of a histogram of the parameter estimates NULL There are no further notes ci.1 <- subset(ci, ci$looktype == "Target") ci.1$group <- ci.1$protocol out.1 <- logistic.fit(ci.1, 4)ests.plot(out.1) ests.plot(out.1)

6 find.mod.alpha find.mod.alpha Calculate a corrected alpha Calculates an adjusted alpha to test against for timeseries datasets find.mod.alpha(rho, n, df, alpha =.05, error.acc =.001, grad.diff = ifelse(cores > 3,.5,.1), verbose = FALSE, cores = 2, method = "t") rho n df alpha error.acc grad.diff verbose cores method Output from doublegauss.fit or logistic.fit Total number of tests being performed (i.e. length of the time series) Degrees of freedom used for the individual t-tests. Familywise error rate. Acceptable distance between estimated error rate and intended familywise error rate Distance between estimates for calculation of Newton s and Hailey s methods If TRUE, prints adjusted alpha estimate for each iteration. Number of cores to use. More than 2 cores is not currently supported and may provide non-sensical results. Multivariate calculation approach. Set to "NormApprox" for normal approximation instead of t. Calculates an adjusted alpha to test against for timeseries datasets. This is intended for use with t-statistics. An AR1 autocorrelation structure is assumed. Numeric. There are no further notes

Fitting Step 7 # Sample Data x <- numeric(500) x[1] <- rnorm(1) for(i in 2:500) x[i] <- rnorm(1, x[i - 1] *.9, 1 -.9 ^ 2) # Estimate autocorrelation # Assume the x values are t-statistics based on 50 subjects rho.est <- ar(x, FALSE, order.max = 1)$ar alphastar <- find.mod.alpha(rho.est, alpha =.05, n = 500, df = 49) alphastar Fitting Step Fit Subjects Individual Curves Fit Subjects from 2 groups with the 6-parameter Double Gaussian or the 4-parameter Logistic doublegauss.fit(data, col, concave = TRUE, diffs = FALSE, rho.0 = 0.9, cor = TRUE, cores = 1, verbose = TRUE) logistic.fit(data, col, diffs = FALSE, rho.0 = 0.9, cor = TRUE, cores = 1, verbose = TRUE) data data.frame. A data.frame with the columns Subject, Time, and Group. Subject designates the subject number (numeric), Time designates the time (numeric, should be ordered from low to high), and Group designates the group (should be 2 unique groups) col concave diffs rho.0 cor cores verbose numeric. The column in the data.frame that corresponds to the eyetracking boolean. TRUE indicates concave UP, FALSE indicates concave DOWN. Only for Double Gaussian. boolean. If the each group is calculating the difference of 2 logistic curves, set to TRUE. In this case, there needs to be a numeric Curve column (with only 1s and 2s) designating the secondary curve (2) to subtract from the primary curve (1). numeric (Between 0 and 1). Assumed autocorrelation of errors for individual subject s curve boolean. If TRUE assumes an AR1 autocorrelation structure among the residuals for fitting integer. Number of cores on the localhost to use boolean. Whether to include estimates for each curve

8 Print Fits Fit Subjects from 2 groups with the 6-parameter Double Gaussian or the 4-parameter Logistic List: for input into refit, boot, plot.ests, and plot.subjs functions There are no further notes ci.1 <- subset(ci, ci$looktype == "Target") ci.1$group <- ci.1$protocol out.1 <- logistic.fit(ci.1, 4) out.2 <- logistic.boot(out.1) replot(out.2, bucket.lim = c(0, 1)) ci.2 <- subset(ci, ci$looktype == "Cohort" ci$looktype == "Unrelated") ci.2$group <- ci.2$protocol ci.2$curve <- ifelse(ci.2$looktype == "Cohort", 1, 2) out.1 <- doublegauss.fit(ci.2, 4, diffs = TRUE) out.1 <- doublegauss.refit(out.1, subj = c(13, 23), group = c(2, 2), curves = c(2, 2), cor = c(false, FALSE)) out.2 <- doublegauss.boot(out.1) replot(out.2, ylim = c(-0.01, 0.1), bucket.lim = c(0, 0.08)) Print Fits Print summary of quality of curve fits Print summary of quality of curve fits printfits(part1.list) part1.list list. Output from doublegauss.fit

Refitting Step 9 Print summary of quality of curve fits There are no further notes ci.2 <- subset(ci, ci$looktype == "Cohort" ci$looktype == "Unrelated") ci.2$group <- ci.2$protocol ci.2$curve <- ifelse(ci.2$looktype == "Cohort", 1, 2) out.1 <- doublegauss.fit(ci.2, 4, diffs = TRUE) out.1 <- doublegauss.refit(out.1, subj = c(13, 23), group = c(2, 2), curves = c(2, 2), cor = c(false, FALSE)) printfits(out.1) out.2 <- doublegauss.boot(out.1) replot(out.2, ylim = c(-0.01, 0.1), bucket.lim = c(0, 0.08)) Refitting Step Refit Subjects Individual Curves Refit Subjects from 2 groups with the 6-parameter Double Gaussian or the 4-parameter Logistic. Can specify starting parameters doublegauss.refit(part1.list, subj = NULL, group = NULL, curves = NULL, params = NULL, cor=null, rho.0 = NULL, info.matrix = NULL, get.cov.only = FALSE) logistic.refit(part1.list, subj = NULL, group = NULL, curves = NULL, params = NULL, cor = NULL, rho.0 = NULL, info.matrix = NULL, get.cov.only = FALSE) part1.list subj group curves params Output from fitting step numeric vector. Subject numbers (within their group) that you want to refit numeric vector. Group numbers corresponding to subject vector numeric vector. Curve numbers if it s a difference of fits (i.e. diffs = TRUE) list of numeric vectors (length 4 or 6). Parameter estimates for the 6 parameter DoubleGauss in the order mu, height, sd 1, sd 2, base 1, base 2. Parameter estimate for the 4 parameter Logistic in the order min, peak, slope, crossover

10 replot cor logical vector. If TRUE assumes an correlation structure of AR(rho) and if FALSE assumes no correlation structure rho.0 info.matrix get.cov.only numeric. assumed autocorrelation of errors for subject s curve numeric matrix. Can put subj/group/curves/params information here for convenience. Columns should have the following order: subj, group, curves, params. This matrix cannot contain any NA/NaN values. If diffs=false, this information is not used simply use filler values. logical. If TRUE, calculates covariance matrix at given parameter estimates. Does not perform any parameter fitting Refit Subjects from 2 groups with the 6-parameter Double Gaussian or the 4-parameter Logistic. Can specify starting parameters List There are no further notes ci.2 <- subset(ci, ci$looktype == "Cohort" ci$looktype == "Unrelated") ci.2$group <- ci.2$protocol ci.2$curve <- ifelse(ci.2$looktype == "Cohort", 1, 2) out.1 <- doublegauss.fit(ci.2, 4, diffs = TRUE) out.1 <- doublegauss.refit(out.1, subj = c(13, 23), group = c(2, 2), curves = c(2, 2), cor = c(false, FALSE)) out.2 <- doublegauss.boot(out.1) replot(out.2, ylim = c(-0.01, 0.1), bucket.lim = c(0, 0.08)) replot Replot Boostrapped Output Plot the boostrapped output with different parameters than the default ones. replot(part2.list, xlim = NULL, ylim = c(0, 1), main = "Curve", legend.location = "topleft", bucket.lim = c(0,.9))

subs.delete 11 part2.list xlim ylim list. Output from doublegauss.boot or logistic.boot numeric vector (length = 2). Start and end point of x-axis. If NULL, takes the full time course numeric vector (length = 2). Start and end point of y-axis main string. Title legend.location string. Location of the legend bucket.lim numeric vector (length = 2). How far the yellow significant region goes on the y axis Plot the boostrapped output with different parameters than the default ones. NULL Options for legend.location include "topleft", "top", "topright", "right", "bottomright", "bottom", "bottomleft", "left" ci.1 <- subset(ci, ci$looktype == "Target") ci.1$group <- ci.1$protocol out.1 <- logistic.fit(ci.1, 4) out.2 <- logistic.boot(out.1) replot(out.2, bucket.lim = c(0, 1)) subs.delete Delete individual subjects from both data and fits Delete individual subjects from both data and fits subs.delete(part1.list, subjs, groups)

12 subs.plot part1.list subjs groups Output from doublegauss.fit or logistic.fit numeric. Subject numbers to remove. numeric. Corresponding group numbers to subjects. Delete individual subjects from both data and fits part1.list ci.1 <- subset(ci, ci$looktype == "Target") ci.1$group <- ci.1$protocol out.1 <- logistic.fit(ci.1, 4)ests.plot(out.1) #Remove subject 1 from group 1 and subject 10 from group 2 out.1 <- subjs.delete(out.1, subj = c(1, 10), group = c(1, 2)) subs.plot Plot subjects raw data along with function fits Plot subjects raw data along with function fits subs.plot(part1.list, legend.spot = "topright", ylim = NULL, groups = NA, subjs = NA, curves = NA) part1.list legend.spot ylim groups subjs curves Output from doublegauss.fit or logistic.fit string. Location of the legend If NULL, takes the min and max of all observed curves Vector of groups corresponding to subjects to plot. Leave as NA for all Vector of subjects to plot. Leave as NA for all Vector of curves to plot. Leave as NA for all

subs.plot 13 Plot subjects raw data along with function fits NULL Options for legend.location include "topleft", "top", "topright", "right", "bottomright", "bottom", "bottomleft", "left" ci.1 <- subset(ci, ci$looktype == "Target") ci.1$group <- ci.1$protocol out.1 <- logistic.fit(ci.1, 4)ests.plot(out.1) subs.plot(out.1)

Index Topic datasets ci, 4 Topic htest bdots.write.csv, 2 Boostrap Step, 3 ests.plot, 5 Fitting Step, 7 Print Fits, 8 Refitting Step, 9 replot, 10 subs.delete, 11 subs.plot, 12 Topic ts find.mod.alpha, 6 bdots.write.csv, 2 Boostrap Step, 3 ci, 4 doublegauss.boot (Boostrap Step), 3 doublegauss.fit (Fitting Step), 7 doublegauss.refit (Refitting Step), 9 ests.plot, 5 find.mod.alpha, 6 Fitting Step, 7 logistic.boot (Boostrap Step), 3 logistic.fit (Fitting Step), 7 logistic.refit (Refitting Step), 9 Print Fits, 8 printfits (Print Fits), 8 Refitting Step, 9 replot, 10 subs.delete, 11 subs.plot, 12 14