{"id":74666,"date":"2021-02-03T12:22:32","date_gmt":"2021-02-03T17:22:32","guid":{"rendered":"https:\/\/ibkrcampus.com\/?p=74666"},"modified":"2022-11-21T09:47:03","modified_gmt":"2022-11-21T14:47:03","slug":"time-series-classification-synthetic-vs-real-financial-time-series-part-vii","status":"publish","type":"post","link":"https:\/\/www.interactivebrokers.com\/campus\/ibkr-quant-news\/time-series-classification-synthetic-vs-real-financial-time-series-part-vii\/","title":{"rendered":"Time Series Classification Synthetic vs Real Financial Time Series \u2013 Part VII"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\"><em>See&nbsp;<a href=\"\/campus\/ibkr-quant-news\/time-series-classification-synthetic-vs-real-financial-time-series\/\">Part I<\/a>,&nbsp;<a href=\"\/campus\/ibkr-quant-news\/time-series-classification-synthetic-vs-real-financial-time-series-part-ii\/\">Part II<\/a>&nbsp;,<a href=\"\/campus\/ibkr-quant-news\/time-series-classification-synthetic-vs-real-financial-time-series-part-iii\/\">Part III<\/a><\/em>,<em>&nbsp;<a href=\"\/campus\/ibkr-quant-news\/time-series-classification-synthetic-vs-real-financial-time-series-part-iv\/\">Part IV,<\/a>&nbsp;<a href=\"\/campus\/ibkr-quant-news\/time-series-classification-synthetic-vs-real-financial-time-series-part-v\/\">Part V<\/a>&nbsp;and <a href=\"\/campus\/ibkr-quant-news\/time-series-classification-synthetic-vs-real-financial-time-series-part-vi\/\">Part VI<\/a> in this series for instructions from Matthew Smith on which R packages and data sets you need.<\/em><\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-autocorrelation-plots\">Autocorrelation plots:<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">I plot the Autocorrelation Function for a \u201crandom\u201d sample of observations time series. I selected 4 observations and filtered the data by them.<\/p>\n\n\n\n<p style=\"background-color:#fcfcdb;font-size:11px\" class=\"has-background\">\t\n######################################################################<br>\n################# ACF plots ##########################################<br><br>\n\n# I only use 4 observations for these plots, 2 from the &#8220;synthetic&#8221; class and 2 from the &#8220;real&#8221; class.<br><br>\n\ndf %&gt;%<br>\n  filter(row_id == 6422 | row_id == 8967 | row_id == 6080 | row_id ==   5734) %&gt;%<br>\n  mutate(date = as.Date(variable)) %&gt;%<br>\n  ggplot(aes(x = date)) +<br>\n  geom_line(aes(y = value), color = &#8220;red&#8221;, alpha = 0.4) +<br>\n  geom_hline(yintercept = 0) +<br>\n  facet_wrap(~ row_id + class) +<br>\n  theme_tq()\n<\/p>\n\n\n\n\n\n<figure class=\"wp-block-image size-large\"><img decoding=\"async\" width=\"1100\" height=\"786\" data-src=\"\/campus\/wp-content\/uploads\/sites\/2\/2021\/02\/mathew-smith-r-feb3-1100x786.png\" alt=\"Time Series Classification\" class=\"wp-image-74704 lazyload\" data-srcset=\"https:\/\/ibkrcampus.com\/campus\/wp-content\/uploads\/sites\/2\/2021\/02\/mathew-smith-r-feb3-1100x786.png 1100w, https:\/\/ibkrcampus.com\/campus\/wp-content\/uploads\/sites\/2\/2021\/02\/mathew-smith-r-feb3-700x500.png 700w, https:\/\/ibkrcampus.com\/campus\/wp-content\/uploads\/sites\/2\/2021\/02\/mathew-smith-r-feb3-300x214.png 300w, https:\/\/ibkrcampus.com\/campus\/wp-content\/uploads\/sites\/2\/2021\/02\/mathew-smith-r-feb3-768x549.png 768w, https:\/\/ibkrcampus.com\/campus\/wp-content\/uploads\/sites\/2\/2021\/02\/mathew-smith-r-feb3.png 1344w\" data-sizes=\"(max-width: 1100px) 100vw, 1100px\" src=\"data:image\/svg+xml;base64,PHN2ZyB3aWR0aD0iMSIgaGVpZ2h0PSIxIiB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciPjwvc3ZnPg==\" style=\"--smush-placeholder-width: 1100px; aspect-ratio: 1100\/786;\" \/><\/figure>\n\n\n\n<p style=\"background-color:#fcfcdb;font-size:11px\" class=\"has-background\">\t\nacf_data <- df %>%<br>\n  dplyr::filter(row_id == 6422 | row_id == 8967 | row_id == 6080 | row_id ==    5734) %>%<br>\n  mutate(date = as.Date(variable))<br><br>\n\ndf_acf <- acf_data %>%<br>\n  group_by(row_id) %>% <br>\n  summarise(list_acf = list(acf(value, plot=FALSE))) %>%<br>\n  mutate(acf_vals = purrr::map(list_acf, ~as.numeric(.x$acf))) %>% <br>\n  select(-list_acf) %>% <br>\n  unnest() %>% <br>\n  group_by(row_id) %>% <br>\n  mutate(lag = row_number() &#8211; 1)<br><br>\n\ndf_ci <- acf_data %>% <br>\n  group_by(row_id) %>% <br>\n  summarise(ci = qnorm((1 + 0.95)\/2)\/sqrt(n()))<br><br>\n\nggplot(df_acf, aes(x = lag, y = acf_vals)) +<br>\n  geom_bar(stat=&#8221;identity&#8221;, width=.05) +<br>\n  geom_hline(yintercept = 0) +<br>\n  geom_hline(data = df_ci, aes(yintercept = -ci), color=&#8221;blue&#8221;, linetype=&#8221;dotted&#8221;) +<br>\n  geom_hline(data = df_ci, aes(yintercept = ci), color=&#8221;blue&#8221;, linetype=&#8221;dotted&#8221;) +<br>\n  labs(x=&#8221;Lag&#8221;, y=&#8221;ACF&#8221;) +<br>\n  facet_wrap(~ row_id) +<br>\n  theme_tq()\n<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img decoding=\"async\" width=\"1100\" height=\"786\" data-src=\"\/campus\/wp-content\/uploads\/sites\/2\/2021\/02\/mathew-smith-r-feb3-2-1100x786.png\" alt=\"\" class=\"wp-image-74709 lazyload\" data-srcset=\"https:\/\/ibkrcampus.com\/campus\/wp-content\/uploads\/sites\/2\/2021\/02\/mathew-smith-r-feb3-2-1100x786.png 1100w, https:\/\/ibkrcampus.com\/campus\/wp-content\/uploads\/sites\/2\/2021\/02\/mathew-smith-r-feb3-2-700x500.png 700w, https:\/\/ibkrcampus.com\/campus\/wp-content\/uploads\/sites\/2\/2021\/02\/mathew-smith-r-feb3-2-300x214.png 300w, https:\/\/ibkrcampus.com\/campus\/wp-content\/uploads\/sites\/2\/2021\/02\/mathew-smith-r-feb3-2-768x549.png 768w, https:\/\/ibkrcampus.com\/campus\/wp-content\/uploads\/sites\/2\/2021\/02\/mathew-smith-r-feb3-2.png 1344w\" data-sizes=\"(max-width: 1100px) 100vw, 1100px\" src=\"data:image\/svg+xml;base64,PHN2ZyB3aWR0aD0iMSIgaGVpZ2h0PSIxIiB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciPjwvc3ZnPg==\" style=\"--smush-placeholder-width: 1100px; aspect-ratio: 1100\/786;\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><em>Stay tuned for the next installment with a focus on<\/em> <em>how to generate the financial time series features using the&nbsp;<code>tsfeatures<\/code>&nbsp;package.<\/em><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Visit&nbsp;Matthew Smith \u2013 R Blog&nbsp;to download the complete R code and see additional details featured in this tutorial: <a href=\"https:\/\/lf0.com\/post\/synth-real-time-series\/financial-time-series\/\">https:\/\/lf0.com\/post\/synth-real-time-series\/financial-time-series\/<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Matthew Smith demonstrates how to program in R and plot the Autocorrelation Function for a &#8220;random&#8221; sample of observations time series.<\/p>\n","protected":false},"author":372,"featured_media":36372,"comment_status":"closed","ping_status":"open","sticky":true,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":"","jetpack_post_was_ever_published":false},"categories":[339,343,338,341,351,344,342],"tags":[6989,9158,8343,806,8344,8342,6613,6988,6614,852,487,6591,1044,1045,5519,2536],"contributors-categories":[13694],"class_list":["post-74666","post","type-post","status-publish","format-standard","has-post-thumbnail","category-data-science","category-programing-languages","category-ibkr-quant-news","category-quant-development","category-quant-europe","category-quant-regions","category-r-development","tag-asset-pricing","tag-autocorrelation-plots","tag-box-plot","tag-data-science","tag-dickey-fuller-test","tag-durbin-watson","tag-financial-data","tag-financial-markets","tag-jupyter-notebook","tag-machine-learning","tag-r","tag-rstats","tag-tidyquant","tag-tidyverse","tag-time-series","tag-visualization","contributors-categories-matthew-smith-r-blog"],"pp_statuses_selecting_workflow":false,"pp_workflow_action":"current","pp_status_selection":"publish","acf":[],"yoast_head":"<!-- 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