From 6f217823694f6825fb52c00cab1924ec263411b3 Mon Sep 17 00:00:00 2001 From: Ben Anderson <dataknut@icloud.com> Date: Thu, 29 Nov 2018 09:04:37 +1300 Subject: [PATCH] added further data cleaning - slightly adjusts initial plots and results; results based on random re-sample will not now match the paper due to random processes --- paper/.~lock.weGotThePowerDraftPaper.html# | 2 +- paper/figs/statPowerEsts80means_All.png | Bin 262608 -> 261005 bytes paper/figs/statPowerEsts80means_p0.01.png | Bin 202183 -> 200326 bytes paper/weGotThePowerDraftPaper.Rmd | 37 +- paper/weGotThePowerDraftPaper.html | 523 ++++++++++++------ .../figure-html/ggHPSampleSizeFig80-1.png | Bin 118099 -> 117623 bytes .../figure-html/ggHPSampleSizeFig80all-1.png | Bin 156220 -> 155246 bytes .../figure-html/ggMeanDiffs-1.png | Bin 61065 -> 60929 bytes .../figure-html/largeNmeanDiffs-1.png | Bin 58999 -> 59005 bytes .../figure-html/load household data-1.png | Bin 0 -> 131805 bytes 10 files changed, 376 insertions(+), 186 deletions(-) create mode 100644 paper/weGotThePowerDraftPaper_files/figure-html/load household data-1.png diff --git a/paper/.~lock.weGotThePowerDraftPaper.html# b/paper/.~lock.weGotThePowerDraftPaper.html# index 045d475..da8be80 100644 --- a/paper/.~lock.weGotThePowerDraftPaper.html# +++ b/paper/.~lock.weGotThePowerDraftPaper.html# @@ -1 +1 @@ -Ben Anderson,ben,ou029107.otago.ac.nz,15.11.2018 14:52,file:///Users/ben/Library/Application%20Support/LibreOffice/4; \ No newline at end of file +Ben Anderson,ben,octomac.local,28.11.2018 17:27,file:///Users/ben/Library/Application%20Support/LibreOffice/4; \ No newline at end of file diff --git a/paper/figs/statPowerEsts80means_All.png b/paper/figs/statPowerEsts80means_All.png index 4b491349d9bdb5abf42708bc04d7ad35704404fa..36952bd15d9678ceb5bd870f187efdf48c5f0fa6 100644 GIT binary patch literal 261005 zcmeAS@N?(olHy`uVBq!ia0y~y;4o%jV7<-3#=yX!;hV0`z`!Dz>FgYk?d<NHpOaq{ zT#%TY>YkdHT9la_<nF}4VA0zf8k->#Dq^?0I9*xgTyTy_Ysm_GURB=7VI~W=?5e+e 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zz<MrNG4@DCrMvqQFomJfjN{Ae>*skSjgEjW@J&0=z?kc?NDJI_Ka<B|kT&D)JdMYA zb_GLR-Ev@}yIdydL>|y0sV@`dE<<d7p~+PIHN<%fGgukeX)xb|Mre>k8)qE2Q+!@_ z{v_z}?kr5jDQ2z4M)>qFa(uC9OrKYI3^cm7?k;FCERVF=n&ZD6n!(yG$T42~^zBEW zG*cy$gz=Nk0zM=Q@iHC4InUg@dM#51S9SwM0jf`)a3q|Wz<fv(9CSF75!hW2jdxWW z44un=UbZ4yhb71t4Fz0yosJZ)4&|H)XD-D4+d{m*`xuV#SSrkMg0A6)xD?6J=*$bT zOcKT=)9u$1y)1l!a)Y5WAIEZZlW<y9GM(WV&)ui~uZh+%8WqF^)o4@@lTQU290p~s cIPjlY@@(o|VP<=A1_lNOPgg&ebxsLQ0H&{=F8}}l diff --git a/paper/weGotThePowerDraftPaper.Rmd b/paper/weGotThePowerDraftPaper.Rmd index 52fd263..8189bfc 100644 --- a/paper/weGotThePowerDraftPaper.Rmd +++ b/paper/weGotThePowerDraftPaper.Rmd @@ -160,8 +160,21 @@ if(file.exists(heatPumpData)){ stop() } +``` + +```{r rawTable} gst <- summary(gsDT) +knitr::kable(caption = "Summary of loaded grid spy data", gst) +``` + +Notice that there are negawatts! Remove rf_46 and all negative values as per https://cfsotago.github.io/GREENGridData/gridSpy1mOutliersReport_v1.0.html + +```{r cleanGSdata} +# remove rf_46 and all negative values as per https://cfsotago.github.io/GREENGridData/gridSpy1mOutliersReport_v1.0.html + +gsDT <- gsDT[linkID != "rf_46" & powerW >= 0] + gsDT <- gsDT[, month := lubridate::month(r_dateTime)] gsDT <- gsDT[, year := lubridate::year(r_dateTime)] @@ -174,6 +187,14 @@ gsDT <- gsDT[tmpM >= 9 & tmpM <= 11, season := "Spring"] # re-order to make sense gsDT <- gsDT[, season := factor(season, levels = c("Spring", "Summer", "Autumn", "Winter"))] +knitr::kable(caption = "Summary of cleaned grid spy data", summary(gsDT)) + +nHH <- uniqueN(gsDT$linkID) +``` + +Number of households in cleaned heatpump data: `r nHH` + +```{r load household data} # Load GREEN Grid household data if(file.exists(ggHHData)){ message("Loading: ", ggHHData ) @@ -183,20 +204,6 @@ if(file.exists(ggHHData)){ stop() } -knitr::kable(caption = "Summary of grid spy data", gst) - -# there are negawatts! -gsDT <- gsDT[, negW := "PosW"] -gsDT <- gsDT[ powerW < 0, negW := "NegaW"] - -t <- table(gsDT$linkID,gsDT$negW) -t -prop.table(t) - -``` - -```{r dataPrep} - hhDT <- hhDT[Q57 == 1, nPeople := "1"] hhDT <- hhDT[Q57 == 2, nPeople := "2"] hhDT <- hhDT[Q57 == 3, nPeople := "3"] @@ -209,7 +216,7 @@ testDT <- gsDT[lubridate::hour(r_dateTime) > 15 & # 16:00 -> lubridate::hour(r_dateTime) < 20 & # <- 20:00 lubridate::wday(r_dateTime) != 6 & # not Saturday lubridate::wday(r_dateTime) != 7 & # not Sunday - year == 2015 & negW == "PosW", # remove the negawatts (see https://github.com/CfSOtago/GREENGridData/issues/6) + year == 2015, .(meanW = mean(powerW, na.rm = TRUE), sdW = sd(powerW, na.rm = TRUE)), keyby = .(season, linkID)] setkey(testDT, linkID) diff --git a/paper/weGotThePowerDraftPaper.html b/paper/weGotThePowerDraftPaper.html index bccb2d4..9170d7d 100644 --- a/paper/weGotThePowerDraftPaper.html +++ b/paper/weGotThePowerDraftPaper.html @@ -239,7 +239,7 @@ div.tocify { <h1 class="title toc-ignore">Statistical Power, Statistical Significance, Study Design and Decision Making: A Worked Example</h1> <h3 class="subtitle"><em>Sizing Demand Response Trials in New Zealand</em></h3> <h4 class="author"><em>Ben Anderson and Tom Rushby (Contact: <a href="mailto:b.anderson@soton.ac.uk">b.anderson@soton.ac.uk</a>, <code>@dataknut</code>)</em></h4> -<h4 class="date"><em>Last run at: 2018-11-15 14:49:28</em></h4> +<h4 class="date"><em>Last run at: 2018-11-28 17:22:51</em></h4> </div> @@ -297,7 +297,190 @@ div.tocify { <div id="means" class="section level2"> <h2><span class="header-section-number">4.1</span> Means</h2> <table> -<caption><span id="tab:dataPrep">Table 4.1: </span>Summary of mean consumption per household by season</caption> +<caption><span id="tab:rawTable">Table 4.1: </span>Summary of loaded grid spy data</caption> +<thead> +<tr class="header"> +<th></th> +<th align="center">hhID</th> +<th align="center">linkID</th> +<th align="center">r_dateTime</th> +<th align="center">circuit</th> +<th align="center">powerW</th> +</tr> +</thead> +<tbody> +<tr class="odd"> +<td></td> +<td align="center">Length:14250284</td> +<td align="center">Length:14250284</td> +<td align="center">Min. :2015-04-01 00:00:00</td> +<td align="center">Length:14250284</td> +<td align="center">Min. : -655.00</td> +</tr> +<tr class="even"> +<td></td> +<td align="center">Class :character</td> +<td align="center">Class :character</td> +<td align="center">1st Qu.:2015-06-22 12:39:00</td> +<td align="center">Class :character</td> +<td align="center">1st Qu.: 0.00</td> +</tr> +<tr class="odd"> +<td></td> +<td align="center">Mode :character</td> +<td align="center">Mode :character</td> +<td align="center">Median :2015-09-16 13:12:00</td> +<td align="center">Mode :character</td> +<td align="center">Median : 0.00</td> +</tr> +<tr class="even"> +<td></td> +<td align="center">NA</td> +<td align="center">NA</td> +<td align="center">Mean :2015-09-21 08:00:39</td> +<td align="center">NA</td> +<td align="center">Mean : 147.92</td> +</tr> +<tr class="odd"> +<td></td> +<td align="center">NA</td> +<td align="center">NA</td> +<td align="center">3rd Qu.:2015-12-17 17:52:00</td> +<td align="center">NA</td> +<td align="center">3rd Qu.: 61.29</td> +</tr> +<tr class="even"> +<td></td> +<td align="center">NA</td> +<td align="center">NA</td> +<td align="center">Max. :2016-03-31 23:59:00</td> +<td align="center">NA</td> +<td align="center">Max. :27759.00</td> +</tr> +</tbody> +</table> +<p>Notice that there are negawatts! Remove rf_46 and all negative values as per <a href="https://cfsotago.github.io/GREENGridData/gridSpy1mOutliersReport_v1.0.html" class="uri">https://cfsotago.github.io/GREENGridData/gridSpy1mOutliersReport_v1.0.html</a></p> +<table> +<caption><span id="tab:cleanGSdata">Table 4.2: </span>Summary of cleaned grid spy data</caption> +<thead> +<tr class="header"> +<th></th> +<th align="center">hhID</th> +<th align="center">linkID</th> +<th align="center">r_dateTime</th> +<th align="center">circuit</th> +<th align="center">powerW</th> +<th align="center">month</th> +<th align="center">year</th> +<th align="center">tmpM</th> +<th align="center">season</th> +</tr> +</thead> +<tbody> +<tr class="odd"> +<td></td> +<td align="center">Length:13298965</td> +<td align="center">Length:13298965</td> +<td align="center">Min. :2015-04-01 00:00:00</td> +<td align="center">Length:13298965</td> +<td align="center">Min. : 0.0</td> +<td align="center">Min. : 1.000</td> +<td align="center">Min. :2015</td> +<td align="center">Min. : 1.000</td> +<td align="center">Spring:3351249</td> +</tr> +<tr class="even"> +<td></td> +<td align="center">Class :character</td> +<td align="center">Class :character</td> +<td align="center">1st Qu.:2015-06-20 15:32:00</td> +<td align="center">Class :character</td> +<td align="center">1st Qu.: 0.0</td> +<td align="center">1st Qu.: 4.000</td> +<td align="center">1st Qu.:2015</td> +<td align="center">1st Qu.: 4.000</td> +<td align="center">Summer:2875049</td> +</tr> +<tr class="odd"> +<td></td> +<td align="center">Mode :character</td> +<td align="center">Mode :character</td> +<td align="center">Median :2015-09-14 20:06:00</td> +<td align="center">Mode :character</td> +<td align="center">Median : 0.0</td> +<td align="center">Median : 7.000</td> +<td align="center">Median :2015</td> +<td align="center">Median : 7.000</td> +<td align="center">Autumn:3471128</td> +</tr> +<tr class="even"> +<td></td> +<td align="center">NA</td> +<td align="center">NA</td> +<td align="center">Mean :2015-09-19 21:24:45</td> +<td align="center">NA</td> +<td align="center">Mean : 152.0</td> +<td align="center">Mean : 6.581</td> +<td align="center">Mean :2015</td> +<td align="center">Mean : 6.581</td> +<td align="center">Winter:3601539</td> +</tr> +<tr class="odd"> +<td></td> +<td align="center">NA</td> +<td align="center">NA</td> +<td align="center">3rd Qu.:2015-12-16 12:26:00</td> +<td align="center">NA</td> +<td align="center">3rd Qu.: 50.8</td> +<td align="center">3rd Qu.: 9.000</td> +<td align="center">3rd Qu.:2015</td> +<td align="center">3rd Qu.: 9.000</td> +<td align="center">NA</td> +</tr> +<tr class="even"> +<td></td> +<td align="center">NA</td> +<td align="center">NA</td> +<td align="center">Max. :2016-03-31 23:59:00</td> +<td align="center">NA</td> +<td align="center">Max. :27759.0</td> +<td align="center">Max. :12.000</td> +<td align="center">Max. :2016</td> +<td align="center">Max. :12.000</td> +<td align="center">NA</td> +</tr> +</tbody> +</table> +<p>Number of households in cleaned heatpump data: 28</p> +<pre><code>## Loading: ~/Dropbox/Work/Otago_CfS_Ben/data/nzGREENGrid/ggHouseholdAttributesSafe.csv</code></pre> +<pre><code>## Parsed with column specification: +## cols( +## .default = col_integer(), +## linkID = col_character(), +## hasApplianceSummary = col_character(), +## Oven = col_character(), +## `Fridge / Freezer 1` = col_character(), +## `Fridge / Freezer 2` = col_character(), +## `Fridge / Freezer 3` = col_character(), +## Dishwasher = col_character(), +## Microwave = col_character(), +## `Washing Machine` = col_character(), +## `Clothes Dryer` = col_character(), +## `Hot water cylinder` = col_character(), +## `Other Appliance` = col_character(), +## `Electric heater` = col_character(), +## `Heated towel rails` = col_character(), +## `PV Inverter` = col_character(), +## `Energy Storage` = col_character(), +## `Other Generation Device` = col_character(), +## hasLongSurvey = col_character(), +## StartDate = col_character(), +## Q14_1 = col_double() +## # ... with 12 more columns +## )</code></pre> +<pre><code>## See spec(...) for full column specifications.</code></pre> +<table> +<caption>(#tab:load household data)Summary of mean consumption per household by season</caption> <thead> <tr class="header"> <th align="left">season</th> @@ -332,9 +515,9 @@ div.tocify { <tr class="even"> <td align="left">Spring</td> <td align="left">3</td> -<td align="right">207.619377</td> -<td align="right">171.401166</td> -<td align="right">7</td> +<td align="right">210.076391</td> +<td align="right">187.625482</td> +<td align="right">6</td> </tr> <tr class="odd"> <td align="left">Spring</td> @@ -360,9 +543,9 @@ div.tocify { <tr class="even"> <td align="left">Summer</td> <td align="left">3</td> -<td align="right">87.760306</td> -<td align="right">133.023910</td> -<td align="right">7</td> +<td align="right">86.328405</td> +<td align="right">145.661285</td> +<td align="right">6</td> </tr> <tr class="odd"> <td align="left">Summer</td> @@ -395,9 +578,9 @@ div.tocify { <tr class="odd"> <td align="left">Autumn</td> <td align="left">3</td> -<td align="right">245.971947</td> -<td align="right">194.352385</td> -<td align="right">8</td> +<td align="right">245.460272</td> +<td align="right">209.918748</td> +<td align="right">7</td> </tr> <tr class="even"> <td align="left">Autumn</td> @@ -430,9 +613,9 @@ div.tocify { <tr class="even"> <td align="left">Winter</td> <td align="left">3</td> -<td align="right">475.616350</td> -<td align="right">280.427370</td> -<td align="right">8</td> +<td align="right">476.930850</td> +<td align="right">302.869555</td> +<td align="right">7</td> </tr> <tr class="odd"> <td align="left">Winter</td> @@ -444,7 +627,7 @@ div.tocify { </tbody> </table> <table> -<caption><span id="tab:dataPrep">Table 4.1: </span>Summary of mean consumption per household in winter</caption> +<caption>(#tab:load household data)Summary of mean consumption per household in winter</caption> <thead> <tr class="header"> <th align="right">meanMeanW</th> @@ -454,13 +637,13 @@ div.tocify { </thead> <tbody> <tr class="odd"> -<td align="right">412.6407</td> -<td align="right">264.3291</td> -<td align="right">28</td> +<td align="right">410.6491</td> +<td align="right">269.1503</td> +<td align="right">27</td> </tr> </tbody> </table> -<p><img src="weGotThePowerDraftPaper_files/figure-html/dataPrep-1.png" width="672" /></p> +<p><img src="weGotThePowerDraftPaper_files/figure-html/load%20household%20data-1.png" width="672" /></p> <p>Observations are summarised to mean W per household during 16:00 - 20:00 on weekdays for year = 2015.</p> <pre><code>## Warning: replacing previous import 'data.table::melt' by 'reshape2::melt' ## when loading 'weGotThePower'</code></pre> @@ -476,7 +659,7 @@ Figure 4.1: Power analysis results (p = 0.01, power = 0.8) </p> </div> <pre><code>## Saving 7 x 5 in image</code></pre> -<p>Effect size at n = 1000: 9.08.</p> +<p>Effect size at n = 1000: 9.29.</p> <p>Figure <a href="#fig:ggHPSampleSizeFig80all">4.2</a> shows the plot for all results.</p> <pre><code>## Scale for 'y' is already present. Adding another scale for 'y', which ## will replace the existing scale.</code></pre> @@ -487,16 +670,16 @@ Figure 4.2: Power analysis results (power = 0.8) </p> </div> <pre><code>## Saving 7 x 5 in image</code></pre> -<p>At same effect size (9.0816159%, n = 1000, p = 0.01):</p> +<p>At same effect size (9.292105%, n = 1000, p = 0.01):</p> <ul> -<li>p = 0.05, n = 575</li> +<li>p = 0.05, n = 600</li> <li>p = 0.1, n = 425</li> -<li>p = 0.2, n = 250</li> +<li>p = 0.2, n = 275</li> </ul> <p>Full table of results:</p> <pre><code>## Using 'effectSize' as value column. Use 'value.var' to override</code></pre> <table> -<caption><span id="tab:meansPowerTable">Table 4.2: </span>Power analysis for means results table (partial)</caption> +<caption><span id="tab:meansPowerTable">Table 4.3: </span>Power analysis for means results table (partial)</caption> <thead> <tr class="header"> <th align="right">sampleN</th> @@ -509,143 +692,143 @@ Figure 4.2: Power analysis results (power = 0.8) <tbody> <tr class="odd"> <td align="right">50</td> -<td align="right">41.16</td> -<td align="right">32.08</td> -<td align="right">27.32</td> -<td align="right">21.60</td> +<td align="right">42.11</td> +<td align="right">32.82</td> +<td align="right">27.95</td> +<td align="right">22.10</td> </tr> <tr class="even"> <td align="right">100</td> -<td align="right">28.90</td> -<td align="right">22.60</td> -<td align="right">19.27</td> -<td align="right">15.26</td> +<td align="right">29.57</td> +<td align="right">23.13</td> +<td align="right">19.72</td> +<td align="right">15.62</td> </tr> <tr class="odd"> <td align="right">150</td> -<td align="right">23.54</td> -<td align="right">18.43</td> -<td align="right">15.73</td> -<td align="right">12.46</td> +<td align="right">24.09</td> +<td align="right">18.86</td> +<td align="right">16.09</td> +<td align="right">12.75</td> </tr> <tr class="even"> <td align="right">200</td> -<td align="right">20.36</td> -<td align="right">15.95</td> -<td align="right">13.61</td> -<td align="right">10.79</td> +<td align="right">20.83</td> +<td align="right">16.32</td> +<td align="right">13.93</td> +<td align="right">11.04</td> </tr> <tr class="odd"> <td align="right">250</td> -<td align="right">18.20</td> -<td align="right">14.27</td> -<td align="right">12.17</td> -<td align="right">9.65</td> +<td align="right">18.62</td> +<td align="right">14.60</td> +<td align="right">12.46</td> +<td align="right">9.87</td> </tr> <tr class="even"> <td align="right">300</td> -<td align="right">16.61</td> -<td align="right">13.02</td> -<td align="right">11.11</td> -<td align="right">8.81</td> +<td align="right">16.99</td> +<td align="right">13.32</td> +<td align="right">11.37</td> +<td align="right">9.01</td> </tr> <tr class="odd"> <td align="right">350</td> -<td align="right">15.37</td> -<td align="right">12.05</td> -<td align="right">10.29</td> -<td align="right">8.15</td> +<td align="right">15.73</td> +<td align="right">12.33</td> +<td align="right">10.53</td> +<td align="right">8.34</td> </tr> <tr class="even"> <td align="right">400</td> -<td align="right">14.37</td> -<td align="right">11.27</td> -<td align="right">9.62</td> -<td align="right">7.63</td> +<td align="right">14.71</td> +<td align="right">11.53</td> +<td align="right">9.85</td> +<td align="right">7.80</td> </tr> <tr class="odd"> <td align="right">450</td> -<td align="right">13.55</td> -<td align="right">10.63</td> -<td align="right">9.07</td> -<td align="right">7.19</td> +<td align="right">13.86</td> +<td align="right">10.87</td> +<td align="right">9.28</td> +<td align="right">7.36</td> </tr> <tr class="even"> <td align="right">500</td> -<td align="right">12.85</td> -<td align="right">10.08</td> -<td align="right">8.61</td> -<td align="right">6.82</td> +<td align="right">13.15</td> +<td align="right">10.31</td> +<td align="right">8.80</td> +<td align="right">6.98</td> </tr> <tr class="odd"> <td align="right">550</td> -<td align="right">12.25</td> -<td align="right">9.61</td> -<td align="right">8.20</td> -<td align="right">6.50</td> +<td align="right">12.54</td> +<td align="right">9.83</td> +<td align="right">8.39</td> +<td align="right">6.65</td> </tr> <tr class="even"> <td align="right">600</td> -<td align="right">11.73</td> -<td align="right">9.20</td> -<td align="right">7.86</td> -<td align="right">6.23</td> +<td align="right">12.00</td> +<td align="right">9.41</td> +<td align="right">8.04</td> +<td align="right">6.37</td> </tr> <tr class="odd"> <td align="right">650</td> -<td align="right">11.27</td> -<td align="right">8.84</td> -<td align="right">7.55</td> -<td align="right">5.98</td> +<td align="right">11.53</td> +<td align="right">9.04</td> +<td align="right">7.72</td> +<td align="right">6.12</td> </tr> <tr class="even"> <td align="right">700</td> -<td align="right">10.86</td> -<td align="right">8.52</td> -<td align="right">7.27</td> -<td align="right">5.76</td> +<td align="right">11.11</td> +<td align="right">8.72</td> +<td align="right">7.44</td> +<td align="right">5.90</td> </tr> <tr class="odd"> <td align="right">750</td> -<td align="right">10.49</td> -<td align="right">8.23</td> -<td align="right">7.03</td> -<td align="right">5.57</td> +<td align="right">10.73</td> +<td align="right">8.42</td> +<td align="right">7.19</td> +<td align="right">5.70</td> </tr> <tr class="even"> <td align="right">800</td> -<td align="right">10.16</td> -<td align="right">7.97</td> -<td align="right">6.80</td> -<td align="right">5.39</td> +<td align="right">10.39</td> +<td align="right">8.15</td> +<td align="right">6.96</td> +<td align="right">5.52</td> </tr> <tr class="odd"> <td align="right">850</td> -<td align="right">9.85</td> -<td align="right">7.73</td> -<td align="right">6.60</td> -<td align="right">5.23</td> +<td align="right">10.08</td> +<td align="right">7.91</td> +<td align="right">6.75</td> +<td align="right">5.35</td> </tr> <tr class="even"> <td align="right">900</td> -<td align="right">9.57</td> -<td align="right">7.51</td> -<td align="right">6.41</td> -<td align="right">5.08</td> +<td align="right">9.80</td> +<td align="right">7.69</td> +<td align="right">6.56</td> +<td align="right">5.20</td> </tr> <tr class="odd"> <td align="right">950</td> -<td align="right">9.32</td> -<td align="right">7.31</td> -<td align="right">6.24</td> -<td align="right">4.95</td> +<td align="right">9.53</td> +<td align="right">7.48</td> +<td align="right">6.39</td> +<td align="right">5.06</td> </tr> <tr class="even"> <td align="right">1000</td> -<td align="right">9.08</td> -<td align="right">7.13</td> -<td align="right">6.08</td> -<td align="right">4.82</td> +<td align="right">9.29</td> +<td align="right">7.29</td> +<td align="right">6.22</td> +<td align="right">4.93</td> </tr> </tbody> </table> @@ -655,7 +838,7 @@ Figure 4.2: Power analysis results (power = 0.8) <p>Does not require a sample. As a relatively simple example, suppose we were interested in the adoption of heat pumps in two equal sized samples. Suppose we thought in one sample (say, home owners) we thought it might be 40% and in rental properties it would be 25% (ref BRANZ 2015). What sample size would we need to conclude a significant difference with power = 0.8 and at various p values?</p> <p><code>pwr::pwr.tp.test()</code> (ref pwr) can give us the answer…</p> <table> -<caption><span id="tab:propTable1">Table 4.3: </span>Samples required if p1 = 40% and p2 = 25%</caption> +<caption><span id="tab:propTable1">Table 4.4: </span>Samples required if p1 = 40% and p2 = 25%</caption> <thead> <tr class="header"> <th align="right">n</th> @@ -693,7 +876,7 @@ Figure 4.2: Power analysis results (power = 0.8) </table> <p>We can repeat this for other values of p1 and p2. For example, suppose both were much smaller (e.g. 10% and 15%)… Clearly we need <em>much</em> larger samples.</p> <table> -<caption><span id="tab:propTable2">Table 4.4: </span>Samples required if p1 = 10% and p2 = 15%</caption> +<caption><span id="tab:propTable2">Table 4.5: </span>Samples required if p1 = 10% and p2 = 15%</caption> <thead> <tr class="header"> <th align="right">n</th> @@ -762,31 +945,31 @@ Figure 4.2: Power analysis results (power = 0.8) <tbody> <tr class="odd"> <td align="left">1</td> -<td align="right">147.9273</td> -<td align="right">161.6783</td> -<td align="right">7</td> +<td align="right">199.7797</td> +<td align="right">165.67094</td> +<td align="right">5</td> </tr> <tr class="even"> <td align="left">2</td> -<td align="right">301.9291</td> -<td align="right">76.8570</td> -<td align="right">7</td> +<td align="right">266.7466</td> +<td align="right">50.77998</td> +<td align="right">9</td> </tr> <tr class="odd"> <td align="left">3</td> -<td align="right">429.2748</td> -<td align="right">248.5965</td> -<td align="right">14</td> +<td align="right">527.6414</td> +<td align="right">346.87919</td> +<td align="right">15</td> </tr> <tr class="even"> <td align="left">4+</td> -<td align="right">470.3224</td> -<td align="right">297.9899</td> -<td align="right">24</td> +<td align="right">355.9932</td> +<td align="right">246.71091</td> +<td align="right">21</td> </tr> </tbody> </table> -<p>So a sample of 52.</p> +<p>So a sample of 50.</p> <p><img src="weGotThePowerDraftPaper_files/figure-html/ggMeanDiffs-1.png" width="672" /></p> <p>T test 1 <-> 3</p> <table> @@ -804,21 +987,21 @@ Figure 4.2: Power analysis results (power = 0.8) </thead> <tbody> <tr class="odd"> -<td align="right">147.9273</td> -<td align="right">429.2748</td> -<td align="right">-281.3475</td> -<td align="right">-3.116754</td> -<td align="right">0.0061527</td> -<td align="right">-471.4924</td> -<td align="right">-91.20272</td> +<td align="right">199.7797</td> +<td align="right">527.6414</td> +<td align="right">-327.8617</td> +<td align="right">-2.82063</td> +<td align="right">0.0128783</td> +<td align="right">-575.5436</td> +<td align="right">-80.17989</td> </tr> </tbody> </table> -<p>The results show that the mean power demand for the control group was 429.27W and for Intervention 1 was 147.93W. This is a (very) large difference in the mean of 281.35. The results of the t test are:</p> +<p>The results show that the mean power demand for the control group was 527.64W and for Intervention 1 was 199.78W. This is a (very) large difference in the mean of 327.86. The results of the t test are:</p> <ul> -<li>effect size = 281W or 66% representing a <em>substantial bang for buck</em> for whatever caused the difference;</li> -<li>95% confidence interval for the test = -471.49 to -91.2 representing <em>considerable</em> uncertainty/variation;</li> -<li>p value of 0.006 representing a <em>relatively low</em> risk of a false positive result but which (just) fails the conventional p < 0.05 threshold.</li> +<li>effect size = 328W or 62% representing a <em>substantial bang for buck</em> for whatever caused the difference;</li> +<li>95% confidence interval for the test = -575.54 to -80.18 representing <em>considerable</em> uncertainty/variation;</li> +<li>p value of 0.013 representing a <em>relatively low</em> risk of a false positive result but which (just) fails the conventional p < 0.05 threshold.</li> </ul> <p>T test 1 <-> 4+</p> <table> @@ -836,21 +1019,21 @@ Figure 4.2: Power analysis results (power = 0.8) </thead> <tbody> <tr class="odd"> -<td align="right">147.9273</td> -<td align="right">470.3224</td> -<td align="right">-322.3952</td> -<td align="right">-3.739141</td> -<td align="right">0.0013971</td> -<td align="right">-502.9035</td> -<td align="right">-141.8869</td> +<td align="right">199.7797</td> +<td align="right">355.9932</td> +<td align="right">-156.2135</td> +<td align="right">-1.705672</td> +<td align="right">0.1228453</td> +<td align="right">-363.944</td> +<td align="right">51.51696</td> </tr> </tbody> </table> <p>Now:</p> <ul> -<li>effect size = 322W or 68.55% representing a still <em>reasonable bang for buck</em> for whatever caused the difference;</li> -<li>95% confidence interval for the test = -502.9 to -141.89 representing <em>even greater</em> uncertainty/variation;</li> -<li>p value of 0.001 representing a <em>higher</em> risk of a false positive result which fails the conventional p < 0.05 threshold and also the less conservative p < 0.1.</li> +<li>effect size = 156W or 43.88% representing a still <em>reasonable bang for buck</em> for whatever caused the difference;</li> +<li>95% confidence interval for the test = -363.94 to 51.52 representing <em>even greater</em> uncertainty/variation;</li> +<li>p value of 0.123 representing a <em>higher</em> risk of a false positive result which fails the conventional p < 0.05 threshold and also the less conservative p < 0.1.</li> </ul> </div> <div id="getting-it-right" class="section level2"> @@ -871,31 +1054,31 @@ Figure 4.2: Power analysis results (power = 0.8) <tbody> <tr class="odd"> <td align="left">1</td> -<td align="right">159.2209</td> -<td align="right">151.7489</td> -<td align="right">88</td> +<td align="right">181.7009</td> +<td align="right">151.61975</td> +<td align="right">87</td> </tr> <tr class="even"> <td align="left">2</td> -<td align="right">285.1232</td> -<td align="right">63.8895</td> -<td align="right">149</td> +<td align="right">284.9767</td> +<td align="right">64.27473</td> +<td align="right">157</td> </tr> <tr class="odd"> <td align="left">3</td> -<td align="right">511.0046</td> -<td align="right">279.3558</td> -<td align="right">308</td> +<td align="right">512.7269</td> +<td align="right">291.45021</td> +<td align="right">289</td> </tr> <tr class="even"> <td align="left">4+</td> -<td align="right">417.3538</td> -<td align="right">267.6910</td> -<td align="right">495</td> +<td align="right">421.9563</td> +<td align="right">271.98331</td> +<td align="right">467</td> </tr> </tbody> </table> -<p>So n = 1040</p> +<p>So n = 1000</p> <div class="figure"><span id="fig:largeNmeanDiffs"></span> <img src="weGotThePowerDraftPaper_files/figure-html/largeNmeanDiffs-1.png" alt="Mean W demand per group for large sample (Error bars = 95% confidence intervals for the sample mean)" width="672" /> <p class="caption"> @@ -918,20 +1101,20 @@ Figure 5.1: Mean W demand per group for large sample (Error bars = 95% confidenc </thead> <tbody> <tr class="odd"> -<td align="right">159.2209</td> -<td align="right">511.0046</td> -<td align="right">-351.7837</td> -<td align="right">-15.50063</td> +<td align="right">181.7009</td> +<td align="right">512.7269</td> +<td align="right">-331.026</td> +<td align="right">-14.01147</td> <td align="right">0</td> -<td align="right">-396.4678</td> -<td align="right">-307.0996</td> +<td align="right">-377.5317</td> +<td align="right">-284.5203</td> </tr> </tbody> </table> <p>In this case:</p> <ul> -<li>effect size = 351.7837236W or 68.84% representing a still <em>reasonable bang for buck</em> for whatever caused the difference;</li> -<li>95% confidence interval for the test = -396.47 to -307.1 representing <em>much less</em> uncertainty/variation;</li> +<li>effect size = 331.0260257W or 64.56% representing a still <em>reasonable bang for buck</em> for whatever caused the difference;</li> +<li>95% confidence interval for the test = -377.53 to -284.52 representing <em>much less</em> uncertainty/variation;</li> <li>p value of 0 representing a <em>very low</em> risk of a false positive result as it passes all conventional thresholds.</li> </ul> <p>re-run T tests 1 person vs 4+</p> @@ -950,20 +1133,20 @@ Figure 5.1: Mean W demand per group for large sample (Error bars = 95% confidenc </thead> <tbody> <tr class="odd"> -<td align="right">159.2209</td> -<td align="right">417.3538</td> -<td align="right">-258.1329</td> -<td align="right">-12.80393</td> +<td align="right">181.7009</td> +<td align="right">421.9563</td> +<td align="right">-240.2554</td> +<td align="right">-11.68658</td> <td align="right">0</td> -<td align="right">-297.8882</td> -<td align="right">-218.3776</td> +<td align="right">-280.7865</td> +<td align="right">-199.7243</td> </tr> </tbody> </table> <p>In this case:</p> <ul> -<li>effect size = 258.1328841W or 61.85% representing a still <em>reasonable bang for buck</em> for whatever caused the difference;</li> -<li>95% confidence interval for the test = -297.89 to -218.38 representing <em>much less</em> uncertainty/variation;</li> +<li>effect size = 240.255403W or 56.94% representing a still <em>reasonable bang for buck</em> for whatever caused the difference;</li> +<li>95% confidence interval for the test = -280.79 to -199.72 representing <em>much less</em> uncertainty/variation;</li> <li>p value of 0 representing a <em>very low</em> risk of a false positive result as it passes all conventional thresholds.</li> </ul> </div> @@ -985,7 +1168,7 @@ Figure 5.1: Mean W demand per group for large sample (Error bars = 95% confidenc </div> <div id="runtime" class="section level1"> <h1><span class="header-section-number">8</span> Runtime</h1> -<p>Analysis completed in 42.5 seconds ( 0.71 minutes) using <a href="https://cran.r-project.org/package=knitr">knitr</a> in <a href="http://www.rstudio.com">RStudio</a> with R version 3.5.1 (2018-07-02) running on x86_64-apple-darwin15.6.0.</p> +<p>Analysis completed in 45.84 seconds ( 0.76 minutes) using <a href="https://cran.r-project.org/package=knitr">knitr</a> in <a href="http://www.rstudio.com">RStudio</a> with R version 3.5.1 (2018-07-02) running on x86_64-apple-darwin15.6.0.</p> </div> <div id="r-environment" class="section level1"> <h1><span class="header-section-number">9</span> R environment</h1> diff --git a/paper/weGotThePowerDraftPaper_files/figure-html/ggHPSampleSizeFig80-1.png b/paper/weGotThePowerDraftPaper_files/figure-html/ggHPSampleSizeFig80-1.png index d4f85eb2f6077eca9766756abec3ec5fcdc3c12f..7033a342a03a2ea3e6e66e975d740f9e3bc99503 100644 GIT binary patch literal 117623 zcmeAS@N?(olHy`uVBq!ia0y~yV0B<%U_QXX#=yYvCGGM}1_l<%OlRkSY-e}p{G9xv z;DW^DRQJ@p)S}GfAa^GQ28-U_(AW%_P!YS`#p%i_=Yn%gT1!^g^Q!Vr4l`M}Wmo;( zyJmUQJk4$?y-4}??%a%%=PZnO|6S<s8c<{SYPQIc{o5N9G`{lRw%ejVl}q*36$K5u zEkBwAUUV;eJ=5BFX6CMq_fp^0e4hJ$UiG`3>F-%z>|7NwZK4RH*sOKB;zo~(+xt6g zwI{T+FA!&27#=9A9lO$p$;_X-d~5W5=R?);H?Q9PH-GJRH(61ILiwc4&sK1E^fP`~ z9(uZrvFg`EdHYvUa^I3(Y&Uc`qF=S+Ve<9E#ddYQnQ2dS9$oHW4Gqrfm@d$N=I9SM 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