{"id":1985,"date":"2026-11-11T17:07:17","date_gmt":"2026-11-11T17:07:17","guid":{"rendered":"https:\/\/www.allendowney.com\/blog\/?page_id=1985"},"modified":"2026-11-11T17:07:17","modified_gmt":"2026-11-11T17:07:17","slug":"consulting","status":"publish","type":"page","link":"https:\/\/www.allendowney.com\/blog\/consulting\/","title":{"rendered":"Statistical consulting for scientists"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">I help researchers in the social and natural sciences with data analysis, especially problems where a Bayesian approach might be useful. I work in Python or R, using PyMC, Stan, brms or whatever fits your project.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Bayesian methods are often a good fit when:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>your samples are small, or some groups have much less data than others;<\/li>\n\n\n\n<li>your data are hierarchical: students in schools, patients in hospitals, measurements on sites;<\/li>\n\n\n\n<li>you need to combine evidence from several sources, or include what is already known;<\/li>\n\n\n\n<li>you have missing data, measurement error, or censored observations (survival and time-to-event data);<\/li>\n\n\n\n<li>you want estimates with honest uncertainty, or need to make a decision based on them;<\/li>\n\n\n\n<li>you are working with survey data and need estimates for subgroups or small areas.<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Free one-hour assessment.<\/strong> Each month I take a few free one-hour sessions. Tell me about your question, your data and what you have tried. We&#8217;ll meet for an hour, and I&#8217;ll tell you honestly whether a Bayesian approach would help and what the work might look like. No obligation; sometimes the answer is a simpler method you can do yourself.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">For larger projects, I can bring in my colleagues at <a href=\"https:\/\/www.pymc-labs.com\/\">PyMC Labs<\/a>.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>About me.<\/strong> I&#8217;m the author of <em>Think Bayes<\/em>, <em>Think Stats<\/em> and <em>Think Python<\/em>, a professor emeritus at Olin College, and Principal Data Scientist at PyMC Labs. <a href=\"https:\/\/www.allendowney.com\/wp\/\">More about me.<\/a><\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Tell me about your problem<\/h2>\n\n\n<div data-test='contact-form'\n\t\t\tid='contact-form-1985'\n\t\t\tclass='jetpack-contact-form-container '\n\t\t\tdata-wp-interactive='jetpack\/form' 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role=\"button\" tabindex=\"0\" data-wp-on--click=\"actions.goBack\" href=\"\/blog\/wp-json\/wp\/v2\/pages\/1985\">\u2190 Back<\/a><\/p><h4 data-wp-bind--aria-hidden=\"state.isSuccessMessageAriaHidden\" id=\"contact-form-success-header-8fcddfe7edb2bf177db8be1172ed0b70b7f59d68\">Thank you for your response. \u2728<\/h4>\n\n<template data-wp-each--submission=\"context.formattedSubmissionData\">\n\t\t\t\t\t<div class=\"jetpack_forms_contact-form-success-summary\">\n\t\t\t\t\t\t<div class=\"field-name-wrapper\">\n\t\t\t\t\t\t\t<div class=\"field-type-icon\" data-wp-watch=\"callbacks.watchFieldTypeIcon\"><\/div>\n\t\t\t\t\t\t\t<div class=\"field-name\" data-wp-text=\"context.submission.label\" data-wp-bind--hidden=\"!context.submission.label\"><\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<div class=\"field-value\" data-wp-text=\"context.submission.value\" data-wp-bind--hidden=\"!context.submission.showPlainValue\"><\/div>\n\t\t\t\t\t\t<a class=\"field-url\" 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organization<\/label>\n<input\n\t\t\t\t\ttype='text'\n\t\t\t\t\tname='g1985-fieldandorganization'\n\t\t\t\t\tid='g1985-fieldandorganization'\n\t\t\t\t\tvalue=''\n\n\t\t\t\t\tdata-wp-bind--aria-invalid='state.fieldAriaInvalid'\n\t\t\t\t\tdata-wp-bind--value='state.getFieldValue'\n\t\t\t\t\taria-describedby='g1985-fieldandorganization-text-error-message'\n\t\t\t\t\tdata-wp-on--input='actions.onFieldChange'\n\t\t\t\t\tdata-wp-on--blur='actions.onFieldBlur'\n\t\t\t\t\tdata-wp-class--has-value='state.hasFieldValue'\n\n\t\t\t\t\tclass='text  grunion-field' placeholder='e.g. ecology, University of ...'\n\t\t\t\t\t \/>\n \n\t\t\t<div id=\"g1985-fieldandorganization-text-error\" class=\"contact-form__input-error\" data-wp-class--has-errors=\"state.fieldHasErrors\">\n\t\t\t\t<span class=\"contact-form__warning-icon\" aria-hidden=\"true\">\n\t\t\t\t\t<svg width=\"16\" height=\"16\" viewBox=\"0 0 16 16\" fill=\"none\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\">\n\t\t\t\t\t\t<path d=\"M8.50015 11.6402H7.50015V10.6402H8.50015V11.6402Z\" \/>\n\t\t\t\t\t\t<path d=\"M7.50015 9.64018H8.50015V6.30684H7.50015V9.64018Z\" \/>\n\t\t\t\t\t\t<path fill-rule=\"evenodd\" clip-rule=\"evenodd\" d=\"M6.98331 3.0947C7.42933 2.30177 8.57096 2.30177 9.01698 3.09469L13.8771 11.7349C14.3145 12.5126 13.7525 13.4735 12.8602 13.4735H3.14004C2.24774 13.4735 1.68575 12.5126 2.12321 11.7349L6.98331 3.0947ZM8.14541 3.58496C8.08169 3.47168 7.9186 3.47168 7.85488 3.58496L2.99478 12.2251C2.93229 12.3362 3.01257 12.4735 3.14004 12.4735H12.8602C12.9877 12.4735 13.068 12.3362 13.0055 12.2251L8.14541 3.58496Z\" \/>\n\t\t\t\t\t<\/svg>\n\t\t\t\t<\/span>\n\t\t\t\t<span data-wp-text=\"state.errorMessage\" id=\"g1985-fieldandorganization-text-error-message\"><\/span>\n\t\t\t<\/div> \n\t<\/div>\n\n<div style=\"\"  data-wp-interactive=\"jetpack\/form\" data-wp-context='{\"fieldId\":\"g1985-describetheproblemthequestionthedatawhatkindhowmuchandwhatyouhavetried\",\"fieldType\":\"textarea\",\"fieldLabel\":\"Describe the 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you have tried<span class=\"grunion-label-required\" aria-hidden=\"true\">(required)<\/span><\/label>\n<textarea\n\t\t                style=''\n\t\t                name='g1985-describetheproblemthequestionthedatawhatkindhowmuchandwhatyouhavetried'\n\t\t                id='contact-form-comment-g1985-describetheproblemthequestionthedatawhatkindhowmuchandwhatyouhavetried'\n\t\t                rows='20'\n\t\t\t\t\t\tdata-wp-text='state.getFieldValue'\n\t\t\t\t\t\tdata-wp-on--input='actions.onFieldChange'\n\t\t\t\t\t\tdata-wp-on--blur='actions.onFieldBlur'\n\t\t\t\t\t\tdata-wp-class--has-value='state.hasFieldValue'\n\t\t\t\t\t\taria-describedby='g1985-describetheproblemthequestionthedatawhatkindhowmuchandwhatyouhavetried-textarea-error-message'\n\t\t\t\t\t\tdata-wp-bind--aria-invalid='state.fieldAriaInvalid'\n\t\t\t\t\t\tclass='textarea  grunion-field'  required aria-required='true'><\/textarea>\n \n\t\t\t<div id=\"g1985-describetheproblemthequestionthedatawhatkindhowmuchandwhatyouhavetried-textarea-error\" class=\"contact-form__input-error\" data-wp-class--has-errors=\"state.fieldHasErrors\">\n\t\t\t\t<span class=\"contact-form__warning-icon\" aria-hidden=\"true\">\n\t\t\t\t\t<svg width=\"16\" height=\"16\" viewBox=\"0 0 16 16\" fill=\"none\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\">\n\t\t\t\t\t\t<path d=\"M8.50015 11.6402H7.50015V10.6402H8.50015V11.6402Z\" \/>\n\t\t\t\t\t\t<path d=\"M7.50015 9.64018H8.50015V6.30684H7.50015V9.64018Z\" \/>\n\t\t\t\t\t\t<path fill-rule=\"evenodd\" clip-rule=\"evenodd\" d=\"M6.98331 3.0947C7.42933 2.30177 8.57096 2.30177 9.01698 3.09469L13.8771 11.7349C14.3145 12.5126 13.7525 13.4735 12.8602 13.4735H3.14004C2.24774 13.4735 1.68575 12.5126 2.12321 11.7349L6.98331 3.0947ZM8.14541 3.58496C8.08169 3.47168 7.9186 3.47168 7.85488 3.58496L2.99478 12.2251C2.93229 12.3362 3.01257 12.4735 3.14004 12.4735H12.8602C12.9877 12.4735 13.068 12.3362 13.0055 12.2251L8.14541 3.58496Z\" \/>\n\t\t\t\t\t<\/svg>\n\t\t\t\t<\/span>\n\t\t\t\t<span data-wp-text=\"state.errorMessage\" id=\"g1985-describetheproblemthequestionthedatawhatkindhowmuchandwhatyouhavetried-textarea-error-message\"><\/span>\n\t\t\t<\/div>\n\t<\/div>\n\n<div style=\"\"  data-wp-interactive=\"jetpack\/form\" data-wp-context='{\"fieldId\":\"g1985-pythonroreither\",\"fieldType\":\"radio\",\"fieldLabel\":\"Python, R, or either?\",\"fieldValue\":\"\",\"fieldPlaceholder\":\"\",\"fieldIsRequired\":\"\",\"fieldErrorMessage\":\"\",\"fieldExtra\":[],\"formHash\":\"8fcddfe7edb2bf177db8be1172ed0b70b7f59d68\"}'  class='grunion-field-radio-wrap grunion-field-wrap'  data-jp-field-id='g1985-pythonroreither' data-jp-visibility-root='g1985-pythonroreither' data-wp-class--jetpack-field--conditionally-hidden=\"state.isFieldHidden\" data-wp-watch--conditional-focus=\"callbacks.manageConditionalFocus\" data-wp-init='callbacks.initializeField' data-wp-on--jetpack-form-reset='callbacks.initializeField' >\n<fieldset id='g1985-pythonroreither-label' class='jetpack-field-multiple__fieldset' data-wp-bind--aria-invalid='state.fieldAriaInvalid' ><legend class=\"grunion-field-label\" ><span class=\"grunion-label-text\">Python, R, or either?<\/span><\/legend>\n<div class='grunion-radio-options ' style=''><p class='contact-form-field'><input\n\t\t\t\t\t\t\t\t\tid='g1985-pythonroreither-Python'\n\t\t\t\t\t\t\t\t\ttype='radio'\n\t\t\t\t\t\t\t\t\tname='g1985-pythonroreither'\n\t\t\t\t\t\t\t\t\tvalue='Python'\n\t\t\t\t\t\t\t\t\tdata-wp-on--change='actions.onFieldChange' class='radio  grunion-field'  \/> <label for='g1985-pythonroreither-Python' style=\"\" class='grunion-radio-label radio'><span class='grunion-field-text'>Python<\/span><\/label><\/p><p class='contact-form-field'><input\n\t\t\t\t\t\t\t\t\tid='g1985-pythonroreither-R'\n\t\t\t\t\t\t\t\t\ttype='radio'\n\t\t\t\t\t\t\t\t\tname='g1985-pythonroreither'\n\t\t\t\t\t\t\t\t\tvalue='R'\n\t\t\t\t\t\t\t\t\tdata-wp-on--change='actions.onFieldChange' class='radio  grunion-field'  \/> <label for='g1985-pythonroreither-R' style=\"\" class='grunion-radio-label radio'><span class='grunion-field-text'>R<\/span><\/label><\/p><p class='contact-form-field'><input\n\t\t\t\t\t\t\t\t\tid='g1985-pythonroreither-Either'\n\t\t\t\t\t\t\t\t\ttype='radio'\n\t\t\t\t\t\t\t\t\tname='g1985-pythonroreither'\n\t\t\t\t\t\t\t\t\tvalue='Either'\n\t\t\t\t\t\t\t\t\tdata-wp-on--change='actions.onFieldChange' class='radio  grunion-field'  \/> <label for='g1985-pythonroreither-Either' style=\"\" class='grunion-radio-label radio'><span class='grunion-field-text'>Either<\/span><\/label><\/p><\/div>\n\t\t\t<div id=\"g1985-pythonroreither-radio-error\" class=\"contact-form__input-error\" data-wp-class--has-errors=\"state.fieldHasErrors\">\n\t\t\t\t<span class=\"contact-form__warning-icon\" aria-hidden=\"true\">\n\t\t\t\t\t<svg width=\"16\" height=\"16\" viewBox=\"0 0 16 16\" fill=\"none\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\">\n\t\t\t\t\t\t<path d=\"M8.50015 11.6402H7.50015V10.6402H8.50015V11.6402Z\" \/>\n\t\t\t\t\t\t<path d=\"M7.50015 9.64018H8.50015V6.30684H7.50015V9.64018Z\" \/>\n\t\t\t\t\t\t<path fill-rule=\"evenodd\" clip-rule=\"evenodd\" d=\"M6.98331 3.0947C7.42933 2.30177 8.57096 2.30177 9.01698 3.09469L13.8771 11.7349C14.3145 12.5126 13.7525 13.4735 12.8602 13.4735H3.14004C2.24774 13.4735 1.68575 12.5126 2.12321 11.7349L6.98331 3.0947ZM8.14541 3.58496C8.08169 3.47168 7.9186 3.47168 7.85488 3.58496L2.99478 12.2251C2.93229 12.3362 3.01257 12.4735 3.14004 12.4735H12.8602C12.9877 12.4735 13.068 12.3362 13.0055 12.2251L8.14541 3.58496Z\" \/>\n\t\t\t\t\t<\/svg>\n\t\t\t\t<\/span>\n\t\t\t\t<span data-wp-text=\"state.errorMessage\" id=\"g1985-pythonroreither-radio-error-message\"><\/span>\n\t\t\t<\/div><\/fieldset>\t<\/div>\n\n<div style=\"\"  data-wp-interactive=\"jetpack\/form\" data-wp-context='{\"fieldId\":\"g1985-timeline\",\"fieldType\":\"select\",\"fieldLabel\":\"Timeline\",\"fieldValue\":\"\",\"fieldPlaceholder\":\"\",\"fieldIsRequired\":\"\",\"fieldErrorMessage\":\"\",\"fieldExtra\":[],\"formHash\":\"8fcddfe7edb2bf177db8be1172ed0b70b7f59d68\"}'  class='grunion-field-select-wrap grunion-field-wrap'  data-jp-field-id='g1985-timeline' data-jp-visibility-root='g1985-timeline' data-wp-class--jetpack-field--conditionally-hidden=\"state.isFieldHidden\" data-wp-watch--conditional-focus=\"callbacks.manageConditionalFocus\" data-wp-init='callbacks.initializeField' data-wp-on--jetpack-form-reset='callbacks.initializeField' >\n<label\n\t\t\t\tfor='g1985-timeline' class=\"grunion-field-label select\" >Timeline<\/label>\n<div class=\"contact-form__select-wrapper select  grunion-field\"  style=''>\t<span class='contact-form__select-element-wrapper'><select name='g1985-timeline' id='g1985-timeline'  data-wp-on--change='actions.onFieldChange' data-wp-bind--aria-invalid='state.fieldAriaInvalid' aria-describedby='g1985-timeline-select-error-message' >\n\t\t<option value=''>Select an option<\/option>\n\t\t<option value='No rush'>No rush<\/option>\n\t\t<option value='Within a month'>Within a month<\/option>\n\t\t<option value='Urgent'>Urgent<\/option>\n\t<\/select><span class='jetpack-field-dropdown__icon'><\/span><\/span>\n<\/div>\n\n\t\t\t<div id=\"g1985-timeline-select-error\" class=\"contact-form__input-error\" data-wp-class--has-errors=\"state.fieldHasErrors\">\n\t\t\t\t<span class=\"contact-form__warning-icon\" aria-hidden=\"true\">\n\t\t\t\t\t<svg width=\"16\" height=\"16\" viewBox=\"0 0 16 16\" fill=\"none\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\">\n\t\t\t\t\t\t<path d=\"M8.50015 11.6402H7.50015V10.6402H8.50015V11.6402Z\" \/>\n\t\t\t\t\t\t<path d=\"M7.50015 9.64018H8.50015V6.30684H7.50015V9.64018Z\" \/>\n\t\t\t\t\t\t<path fill-rule=\"evenodd\" clip-rule=\"evenodd\" d=\"M6.98331 3.0947C7.42933 2.30177 8.57096 2.30177 9.01698 3.09469L13.8771 11.7349C14.3145 12.5126 13.7525 13.4735 12.8602 13.4735H3.14004C2.24774 13.4735 1.68575 12.5126 2.12321 11.7349L6.98331 3.0947ZM8.14541 3.58496C8.08169 3.47168 7.9186 3.47168 7.85488 3.58496L2.99478 12.2251C2.93229 12.3362 3.01257 12.4735 3.14004 12.4735H12.8602C12.9877 12.4735 13.068 12.3362 13.0055 12.2251L8.14541 3.58496Z\" \/>\n\t\t\t\t\t<\/svg>\n\t\t\t\t<\/span>\n\t\t\t\t<span data-wp-text=\"state.errorMessage\" id=\"g1985-timeline-select-error-message\"><\/span>\n\t\t\t<\/div>\t<\/div>\n\t<p class='contact-submit'>\n<div class=\"contact-form__error\" data-wp-class--show-errors=\"state.showFormErrors\"><span class=\"contact-form__warning-icon\" aria-hidden=\"true\"><i><\/i><\/span><span class=\"contact-form__error-message\" tabindex=\"-1\" data-wp-watch=\"callbacks.focusOnValidationError\" data-wp-text=\"state.getFormErrorMessage\"><\/span><ul aria-label=\"Form errors\">\n\t\t\t\t<template data-wp-each=\"state.getErrorList\" data-wp-key=\"context.item.id\">\n\t\t\t\t\t<li><a data-wp-bind--href=\"context.item.anchor\" data-wp-on--click=\"actions.scrollIntoView\" data-wp-text=\"context.item.label\"><\/a><\/li>\n\t\t\t\t<\/template>\n\t\t\t\t<\/ul><\/div><div class=\"contact-form__error\" data-wp-class--show-errors=\"state.showSubmissionError\" data-wp-text=\"context.submissionError\" tabindex=\"-1\" data-wp-watch=\"callbacks.focusOnSubmissionError\"><\/div>\t\t<button type='submit' class='pushbutton-wide'>Send<\/button>\t\t<input type='hidden' name='contact-form-id' value='1985' \/>\n\t\t<input type='hidden' name='action' value='grunion-contact-form' \/>\n\t\t<input type='hidden' name='contact-form-hash' value='8fcddfe7edb2bf177db8be1172ed0b70b7f59d68' \/>\n\t<\/p>\n<\/form>\n<\/div>\n\n\n\n<p class=\"wp-block-paragraph\">I read every message and reply within a few days. Your message goes only to me.<\/p>\n\n","protected":false},"excerpt":{"rendered":"<p>I help researchers in the social and natural sciences with data analysis, especially problems where a Bayesian approach might be useful. I work in Python or R, using PyMC, Stan, brms or whatever fits your project. Bayesian methods are often a good fit when: Free one-hour assessment. Each month I take a few free one-hour sessions. Tell me about your question, your data and what you have tried. We&#8217;ll meet for an hour, and I&#8217;ll tell you honestly whether a&#8230;<\/p>\n<p class=\"read-more\"><a class=\"btn btn-default\" href=\"https:\/\/www.allendowney.com\/blog\/consulting\/\"> Read More<span class=\"screen-reader-text\">  Read More<\/span><\/a><\/p>\n","protected":false},"author":0,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_jetpack_hide_featured_image":false,"_jetpack_featured_image_duplicate_dismissed":0,"footnotes":""},"class_list":["post-1985","page","type-page","status-publish","hentry"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v28.7 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Statistical consulting for scientists - Probably Overthinking It<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.allendowney.com\/blog\/consulting\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Statistical consulting for scientists - Probably Overthinking It\" \/>\n<meta property=\"og:description\" content=\"I help researchers in the social and natural sciences with data analysis, especially problems where a Bayesian approach might be useful. I work in Python or R, using PyMC, Stan, brms or whatever fits your project. Bayesian methods are often a good fit when: Free one-hour assessment. Each month I take a few free one-hour sessions. Tell me about your question, your data and what you have tried. We&#8217;ll meet for an hour, and I&#8217;ll tell you honestly whether a... Read More Read More\" \/>\n<meta property=\"og:url\" content=\"https:\/\/www.allendowney.com\/blog\/consulting\/\" \/>\n<meta property=\"og:site_name\" content=\"Probably Overthinking It\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:site\" content=\"@AllenDowney\" \/>\n<meta name=\"twitter:label1\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data1\" content=\"2 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/www.allendowney.com\\\/blog\\\/consulting\\\/\",\"url\":\"https:\\\/\\\/www.allendowney.com\\\/blog\\\/consulting\\\/\",\"name\":\"Statistical consulting for scientists - Probably Overthinking It\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/www.allendowney.com\\\/blog\\\/#website\"},\"datePublished\":\"2026-11-11T17:07:17+00:00\",\"breadcrumb\":{\"@id\":\"https:\\\/\\\/www.allendowney.com\\\/blog\\\/consulting\\\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\\\/\\\/www.allendowney.com\\\/blog\\\/consulting\\\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\\\/\\\/www.allendowney.com\\\/blog\\\/consulting\\\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\\\/\\\/www.allendowney.com\\\/blog\\\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Statistical consulting for scientists\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\\\/\\\/www.allendowney.com\\\/blog\\\/#website\",\"url\":\"https:\\\/\\\/www.allendowney.com\\\/blog\\\/\",\"name\":\"Probably Overthinking It\",\"description\":\"Data science, Bayesian Statistics, and other ideas\",\"publisher\":{\"@id\":\"https:\\\/\\\/www.allendowney.com\\\/blog\\\/#\\\/schema\\\/person\\\/4e5bfb2e9af6c3446cb0031a7bf83207\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\\\/\\\/www.allendowney.com\\\/blog\\\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"en-US\"},{\"@type\":[\"Person\",\"Organization\"],\"@id\":\"https:\\\/\\\/www.allendowney.com\\\/blog\\\/#\\\/schema\\\/person\\\/4e5bfb2e9af6c3446cb0031a7bf83207\",\"name\":\"Allen B. 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