Research talk:Reading time/Work log/2018-09-27

Thursday, September 27, 2018

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Question: General patterns of time spent

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What are the general patterns of time spent? Calculate averages and various percentiles, characterize the form of the distribution / histogram (cf. https://www.nngroup.com/articles/how-long-do-users-stay-on-web-pages/ )

Summary stats

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Visible Length

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wiki max percentile_95 percentile_75 median mean percentile_25 percentile_5 min
arwiki 1.537986e+12 373673.4 71098.0 25296.0 7.035699e+08 8979.25 2402.0 -1.724141e+06
dewiki 1.537995e+12 409897.0 74609.5 23406.5 1.448944e+08 7397.00 1861.0 -6.982139e+06
enwiki 1.537952e+12 392193.7 61535.0 19111.0 1.184951e+09 6282.50 1521.0 -1.594799e+09

Total Length

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wiki max percentile_95 percentile_75 median mean percentile_25 percentile_5 min
arwiki 1.537986e+12 794130.30 91225.5 28504.0 7.039803e+08 9555.00 2490.0 -1.724141e+06
dewiki 1.537995e+12 1199123.75 99507.0 26876.5 1.453318e+08 7828.75 1912.0 -6.982139e+06
enwiki 1.537952e+12 1105116.50 86771.0 22400.0 1.185385e+09 6711.00 1585.0 -1.594799e+09

Dom Interactive Time

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wiki max percentile_95 percentile_75 median mean percentile_25 percentile_5 min
arwiki 293013 8248.25 2380 1261 -785805047 719 254 -1537985844507
dewiki 7808564 2686.25 934 516 -216542229 285 115 -1537995044942
enwiki 676221 4646.90 1496 765 -1239425778 386 128 -1538004439131

There are negative values so lets see what it looks like when we forcibly remove them

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Visible Length

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wiki max percentile_95 percentile_75 median mean percentile_25 percentile_5 min
arwiki 1.537986e+12 373753.50 71102.50 25300.5 7.036840e+08 8984.25 2403.85 17.0
dewiki 1.537995e+12 410429.00 74619.00 23417.0 1.449385e+08 7405.00 1866.80 10.0
enwiki 1.537952e+12 392454.35 61576.25 19126.0 1.185528e+09 6293.00 1532.00 2.0

Total Length

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wiki max percentile_95 percentile_75 median mean percentile_25 percentile_5 min
arwiki 1.537986e+12 794295.0 91230.0 28508.0 7.040374e+08 9556.0 2491.0 17.0
dewiki 1.537995e+12 1200417.1 99588.5 26883.5 1.453691e+08 7837.0 1914.0 10.0
enwiki 1.537952e+12 1106109.5 86814.5 22412.5 1.185687e+09 6715.0 1589.0 2.0

Dom Interactive Time

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wiki max percentile_95 percentile_75 median mean percentile_25 percentile_5 min
arwiki 293013 8251.55 2381 1262 2531.874689 720 256 13
dewiki 7808564 2687.20 934 516 1128.534421 285 116 10
enwiki 676221 4660.00 1501 770 1574.989014 390 136 11

Notes

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The units are milliseconds so the media time is 25 seconds on arwiki and a whole 19 seconds enwiki. So, as expected, most pageviews do not entail much reading. At the 75th percentile people are reading for 60 or 70 seconds.

Removing negative extreme values doesn't change the look of the distribution very much. One pretty striking thing is the 95th percentile for Arabic is much lower than the other two languages. This may be a sign of interesting variation between Wikis.

@Groceryheist: Isn't the median visible time rather 25 seconds on arwiki and 19 seconds on enwiki? (The above table gives 25296.0 and 19111.0 milliseconds, respectively.) Regards, Tbayer (WMF) (talk) 16:46, 28 September 2018 (UTC)Reply
Yep.

Weibull Survival Curve

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This plot shows the weibull distribution fit to data on dwell times on wikipedia pages in 2018.. The Weibull distribution fit to dwell times of views lasting less than 10 minutes. Units on the x axis are miliseconds.

The model might not be a perfect fit for the data. There are fancier versions of the weibull distribution with some more degrees of freedom that might be worth a shot.

 
This plot shows the hazard function estimated using a weibull model on data on dwell times (total length) on wikipedia pages in 2018.. The hazard of leaving within the first few seconds is high, but it falls very fast. The model was only fit on views lasting less than 10 minutes.


 
This plot shows the survival curve estimated using a weibull model on data on dwell times on wikipedia pages in 2018.. Y is the proportion of readers who remain on the page after X seconds. It is obvious that most page views last less than 100 seconds, but the tail stays fat for some time.


Summary Stats By Wiki and Mobile

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totalLength totalLength visibleLength visibleLength weigh weigh
median mean median mean median mean
28845.0 174915188.91779184 24635.0 174217568.52800092 3.2892 16.946110355694543
26818.0 1669471005.8635123 24569.0 1669411369.846813 7.1168 32.75366588732676
30106.0 1258528.345518783 25555.0 509133.7363905112 9.9118 23.65676761805455
31064.0 316705.2144088906 28627.0 85457.0216516574 1.8842 10.087100691852081
24924.0 871699107.4503895 21093.0 870993691.4453386 1.9374 72.85845601241515
29235.5 285826101.3141768 26676.5 285564072.7414244 4.902 60.06471769662422
37397.5 1077391.6539779217 30595.5 415022.3476398934 1.7234 11.103956684861044
31772.0 169485.2455791335 29706.5 79346.0541556145 4.5882 10.107531165980753
24508.0 4962884624.735496 19949.0 4962133335.288904 1.8062 232.03379988987842
23805.5 1029272503.6320872 21582.5 1029012633.7137628 12.9206 306.2518921945862
36873.5 969611.1817515872 28611.0 391199.4972326225 1.5786 156.972208235033
32178.5 737868769.1272662 29261.0 737723321.3466682 3.0652 126.17442748688784
34696.0 131896817.20872489 25135.0 130888897.00474179 1.8128 18.52878503565453
25063.5 350839730.9314433 22789.0 350770752.4947881 8.3394 30.900083648565893
18269.0 1028914.1437243772 15919.5 430494.5592872911 5.1216 14.597655231314327
27197.0 182449.98635280525 25138.0 73057.70582713553 5.7402 13.704078379772731
29930.0 2547262341.693453 24193.0 2546673837.2712193 1.0 88.85968339404555
30563.0 1055435486.4415013 28254.0 1055168398.4867338 3.4564 57.28288987118162
27179.0 437573.2503338594 23208.0 232124.67791671725 1.7824 3.9070226827241483
33413.0 1383063442.6839483 31199.0 1383022276.4208739 3.1334 16.950221095595637
32167.0 838633.2519352006 26587.0 417351.2963051632 3.0192 17.426829081511038
33911.0 265606748.73555964 31566.0 265483609.15417653 3.875 10.723606184090409
40412.0 1088856.4154136819 29860.0 513500.74116350466 1.2138 12.69478339303754
29192.5 2551820776.8959947 26793.5 2551722394.6258397 4.9252 26.20950873555077
26087.5 -55590296798.80214 21529.0 -55590691790.59683 1.099 61.91090603932537
24595.0 282794263.3259684 22976.0 282673868.4118517 4.2982 73.32214906833563
25657.0 1078906.9293046475 21712.0 546936.5728749209 3.5194 69.89366405109722
29184.0 222089215.81175953 27319.0 221970938.92457706 3.9904 102.71797857932317
14178.0 2260612.3961137356 12153.0 1531778.6595953293 1.5782 12.0786661764659
17027.0 517374010.6004746 16278.0 517322331.3574879 7.2122 17.735458991298245
25257.0 123572734.63591498 21509.0 122742816.4522009 25.0296 37.01092972669119
26420.0 326825.1428120811 24645.0 65972.88005677785 7.676 21.305935178682407
23360.0 865985.4052489576 19468.0 325259.689477557 1.1806 55.5853534467924
25949.0 79050885.803218 24109.0 78838592.91039942 4.3076 38.99953499100536
35174.0 365263228.88395035 27556.0 364746525.7690297 8.2934 70.0111864819028
32766.0 473100068.3315456 29928.0 472974081.4477851 2.2454 52.07376665702261
32835.0 839716.8144871682 27038.0 327017.3187352194 2.359 9.995905689297862
30140.0 176908.85000616751 27377.0 76993.60515603799 2.7172 11.109753345792715
33286.0 -591539382.0003412 26094.0 -592129348.2488116 1.4296 78.0922517455317
30791.0 479841783.5957664 28294.0 479721181.3019358 11.352 58.74345791733355
24364.0 1748140.32689424 20196.0 667188.4238334657 9.9306 21.768758776843907
26287.0 273812.2837800241 24358.0 61037.83798571826 4.5208 16.028976104766148
29498.0 710850.6424361493 22158.0 271006.72960397066 3.383 18.47230319340372
24450.0 276085265.8157966 22902.0 276011842.45716095 2.3744 15.159491895323391
39818.0 578659818.4633219 30615.5 578001268.7992525 3.5986 13.460458529013426
34323.0 644354896.7857627 31503.5 644234910.2572033 3.3344 9.49406665404602
40974.0 130539891.2907989 30675.0 -607090.4977808126 3.5222 16.240576632530974
31655.0 795806196.8223436 28327.5 795698144.3101834 3.0226 8.986763498062633
28160.0 104098102.98057792 21564.0 103572079.54887779 1.4012 41.869781876235585
28228.0 809934104.2042571 24836.0 809777827.4815011 4.2268 30.325948931943454

Things I want to find out

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- What is the proportion of mobile edits to each language edition and how does this compare to readership? - Does mobile editing moderate the gap between mobile and non-mobile editors?

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