Skip to content

Instantly share code, notes, and snippets.

@JohnGriffiths
Created April 7, 2014 13:02
Show Gist options
  • Save JohnGriffiths/10019871 to your computer and use it in GitHub Desktop.
Save JohnGriffiths/10019871 to your computer and use it in GitHub Desktop.
Display the source blob
Display the rendered blob
Raw
{
"worksheets": [
{
"cells": [
{
"metadata": {},
"cell_type": "heading",
"source": "Reporting Bayes Factors",
"level": 1
},
{
"metadata": {},
"cell_type": "markdown",
"source": "Seems there are lots of ways to report Bayes Factors. \n\nNoting some of them down here for reference. \n\n"
},
{
"metadata": {},
"cell_type": "markdown",
"source": "---"
},
{
"metadata": {},
"cell_type": "markdown",
"source": "\n*Snippet from Allen et al. 2014 \"The Timing and Neuroanatomy of Conscious Vision as\nRevealed by TMS-induced Blindsight\" ([here](http://www.mitpressjournals.org/doi/pdf/10.1162/jocn_a_00557))\n"
},
{
"metadata": {
"run_control": {
"breakpoint": false
}
},
"cell_type": "code",
"input": "from IPython.display import Image\nImage('Allen_et_al_Bayes_Factors_reporting_snippet.png')",
"prompt_number": 6,
"outputs": [
{
"png": "iVBORw0KGgoAAAANSUhEUgAAAWcAAAD8CAIAAAAkDPLuAAAAAXNSR0IArs4c6QAA37FJREFUeF7s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\n",
"text": "<IPython.core.display.Image at 0x30e1250>",
"output_type": "pyout",
"metadata": {},
"prompt_number": 6
}
],
"language": "python",
"trusted": true,
"collapsed": false
},
{
"metadata": {},
"cell_type": "markdown",
"source": "...So they do something like this:\n\nactive vs. sham $t(15)$ = 1.76, $p$ = 0.10, $B_{(active > sham)}$ = 8.97, $B_{(active < sham)}$ = 0.03"
},
{
"metadata": {},
"cell_type": "markdown",
"source": "...looks a bit redundant reporting BFs in both directions...but they're not the same (1/8.97 = 0.1, not 0.03)"
},
{
"metadata": {},
"cell_type": "markdown",
"source": "---"
},
{
"metadata": {},
"cell_type": "markdown",
"source": "When using default Bayes Factors one option is to use '0', and '1' subscripts;\n\nBayes factors for H0 vs. H1: $BF_{01}$ = ...\n\n \nBayes factors for H1 vs. H0: $BF_{10}$ = ...\n "
}
],
"metadata": {}
}
],
"metadata": {
"name": "",
"signature": "sha256:ebfd6dc55957ccf3f9aeadcdc3048f18a31223a6657a5b9f752684b5663555f7",
"css": [
""
],
"gist_id": "10019871"
},
"nbformat": 3
}
Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment