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1 Type Package Package leaigcuve Augus 29, 2016 Tile A Implemeaio of Cawfod's ad Wigh's Leaig Cuve Poducio Fucios Vesio 1.0 Dae A implemeaio of Cawfod's ad Wigh's leaig cuve poducio fucios. I povides ui ad cumulaive block esimaes fo ime (o cos) of uis alog wih a aggegae leaig cuve. I also povides dela ad eo fucios ad some basic leaig cuve ploig fucios. Licese MIT + file LICENSE RoxygeNoe Impos ggplo2 NeedsCompilaio o Auho Jaso Feels [au, ce], Badley Boehmke [au] Maiaie Jaso Feels Reposioy CRAN Dae/Publicaio :45:24 R opics documeed: agg_cuve ca_block ca_ui cum_eo dela lc_ae lc_ae_es aual_slope aual_slope_es plo_block_summay plo_dela

2 2 agg_cuve plo_ui_cuve ui_block_summay ui_cum_appx ui_cum_exac ui_cuve ui_midpoi Idex 15 agg_cuve Aggegae Leaig Cuve Compues he appoximae aggegae cumulaive leaig cuve fomula by calculaig he sum of all coibuig hous fom all depames fo all poducio uis 1 hough. agg_cuve(,,, a.m = FALSE) a.m veco of hous (o coss) fo he fis ui fom depames 1 hough m veco of hisoical leaig aes fo depames 1 hough m oal uis o be poduced acoss all depames Should NA values be emoved? ## No u: # A pojec is expeced o ge udeway soo o poduce 300 # widges. Thee depames will be ivolved. Hisoically, # hese depames have had leaig cuves of 85%, 87%, ad # 80% especively. The fis ui hous fo hese depames # have bee esimaed a 70, 45, ad 25 especively. Wha is # he oal pediced hous equied fo he eie effo? <- c(70, 45, 25) <- c(.85,.87,.8) agg_cuve( =, =, = 300) ## [1] ## Ed(No u)

3 ca_block 3 ca_block Wigh s Cumulaive Aveage Leaig Cuve Fucio Compues cumulaive ime o cos fo uis m hough i a poducio block usig Wigh s cumulaive aveage model. Assumes he block begis a ui m ad eds a ui. ca_block(,,, m = 1, a.m = FALSE) ime (o cos) equied fo he mh ui of poducio las ui of he poducio block of coce leaig cuve ae m fis ui of he poducio block of coce (defaul: m = 1) a.m Should NA values be emoved? # Poducio of he fis 200 uis of a poduc is eaig is # ed. You cusome said he is willig o buy a addiioal 50 # uis. Thee will be o beak i poducio o i leaig. The # fis ui equied 75 hous ad he fis 200 uis had a 85% # leaig cuve. How may hous will he secod block of 50 uis # equie? ca_block( = 75, m = 201, = 250, =.85) ## [1] ca_ui Wigh s Cumulaive Aveage Ui Leaig Cuve Fucio Compues he ime (o cos) equied fo a specific ui usig Wigh s cumulaive aveage model. ca_ui(,,, m = 1, a.m = FALSE)

4 4 cum_eo ime (o cos) equied fo he mh ui of poducio h ui you wish o pedic he ime (o cos) fo leaig cuve ae m mh ui fo which you have ime (o cos) ifomaio (defaul is m = 1) a.m Should NA values be emoved? # A esimao wa o kow he ui hous fo ui 2,200 usig # whe he hous fo ui 1 wee 110 ad he leaig ae was # 88.5%. ca_ui( = 110, m = 1, = 2200, =.885) ## [1] cum_eo Appoximae Pedicio Eo Compues appoximae pece eo i cumulaive ime (o cos) due o a icoec choice of leaig cuve ae. The oupu povides he measue of eo whe leaig cuve 1 is eoeously chose whe 2 should have bee chose. I is he aio of he acual cumulaive esuls based o he ealized leaig cuve o he pediced cumulaive esuls based o he eoeously used leaig ae. cum_eo(, 1, 2) 1 2 cummulaive uis i he poducio quaiy oigial leaig cuve ae (aka eoeously used leaig cuve ae) leaig cuve ae o compae o 1 (aka ealized leaig cuve ae) # A esimao is pedicig hous fo a block of 250 uis. Hisoically, # he ogaizaio has had a leaig ae bewee 85-87%. Wha is he # poeial eo i he pedicio by usig oe of hese wo leaig # aes (85% vs. 87%)? If you go wih a leaig ae of 85% ad he # ogaizaio pefoms a a leaig ae of 87% he he eo would # be 20%. cum_eo( = 250, 1 =.85, 2 =.87) ## [1]

5 dela 5 dela Cawfod vs. Wigh Ui Diffeece Compues he diffeece bewee he ui o cumulaive pedicio esimaes povided by he Cawfod ad Wigh models. dela(, m,,, level = "u") ime (o cos) equied o poduce he fis ui m mh ui fo which you have ime (o cos) ifomaio (defaul is m = 1) level he h ui you wish o pedic he ime (o cos) fo whe compaig ui pedicios o he las ui i he block whe compaig cumulaive ime (o coss) leaig cuve ae calculae ui ("u") vesus cumulaive ("c") diffeeces (defaul = "u") # The fis ui of poducio is expeced o equie 50 hous ad # he leaig ae is expeced o be 88.5%. Howeve, he esimao # is o sue whehe he leaig ae is based o he ui model # o cumulaive aveage model ad was o udesad he diffeece # bewee poeial oucomes fo each ui. # diffeeces bewee pe ui ime equiemes dela( = 50, m = 1, = 25, =.885) ## [1] ## [10] ## [19] # diffeeces bewee cumulaive ui ime equiemes dela( = 50, m = 1, = 25, =.885, level = "c") ## [1] ## [9] ## [17] ## [25]

6 6 lc_ae_es lc_ae Leaig Rae Covee Compues he leaig ae fo give aual slopes lc_ae(b, a.m = FALSE) b a.m aual slope Should NA values be emoved? # Calculae he leaig aes fo aual slopes -.19, -.22, -.25 lc_ae(b = c(-.19, -.22, -.25)) ## [1] lc_ae_es Leaig Rae Esimae Compues he leaig ae based o oal ime (cos) o poduce he fis uis, ime (cos) equied fo he fis ui ad oal uis poduced. lc_ae_es(t,, ) T oal ime (o cos) equied o poduce he fis uis ime (o cos) equied o poduce he fis ui oal uis poduced

7 aual_slope 7 # Esimae he leaig cuve ae fo 250 uis whe he ime # fo ui oe ook 80 hous ad he oal ime fo all 250 # uis ook 8,250 hous. lc_ae_es(t = 8250, = 80, = 250) ## [1] aual_slope Naual Slope Rae Covee Compues he aual slope ae fo give leaig aes aual_slope(, a.m = FALSE) a.m leaig cuve ae Should NA values be emoved? # Calculae he aual slope fo leaig aes of 80%, 85%, 90% aual_slope( = c(.80,.85,.90)) ## [1] aual_slope_es Naual Slope Esimae Compues he aual slope based o oal ime (cos) o poduce he fis uis, ime (cos) equied fo he fis ui ad oal uis poduced. aual_slope_es(t,, )

8 8 plo_block_summay T oal ime (o cos) equied o poduce he fis uis ime (o cos) equied o poduce he fis ui oal uis poduced # Esimae he aual slope fo 250 uis whe he ime fo ui # oe ook 80 hous ad he oal ime fo all 250 uis ook # 8,250 hous. aual_slope_es(t = 8250, = 80, = 250) ## [1] plo_block_summay Block Summay Plo Plos he Cawfod ui leaig cuve fo he poducio block coaiig uis m hough (iclusive) while highlighig midpoi values. plo_block_summay(, m,, ) ime (o cos) equied fo he mh ui of poducio m mh ui fo which you have ime (o cos) ifomaio (defaul is m = 1) h (las) ui of poducio i he poducio block of coce ( > m) leaig cuve ae # A poducio block us fom ui 201 o ui 500 iclusive. # The 201s ui had a equied ime of 125 hous wih a 75% # leaig cuve. Plo he block summay? plo_block_summay( = 125, m = 201, = 500, =.75)

9 plo_dela 9 plo_dela Cawfod vs. Wigh Dela Plo Plos he dela of hous (o cos) pe ui bewee Cawfod s ui model ad Wigh s cumulaive aveage model. plo_dela(, m,,, level = "u") ime (o cos) equied o poduce he mh ui m mh ui fo which you have ime (o cos) ifomaio (defaul is m = 1) level he h ui you wish o pedic he ime (o cos) fo whe compaig ui pedicios o he las ui i he block whe compaig cumulaive ime (o coss) leaig cuve ae plo he dela bewee he Cawfod ad Wigh models a he ui ("u") o cumulaive ("c") level # The fis ui of poducio is expeced o equie 50 hous ad # he leaig ae is expeced o be 88.5%. Howeve, he esimao # is o sue whehe he leaig ae is based o he ui model # o cumulaive aveage model ad was o udesad he diffeece # bewee poeial oucomes fo each ui. # Plo he diffeeces bewee pe ui ime equiemes plo_dela( = 50, m = 1, = 25, =.885) # Plo he diffeeces bewee cumulaive ime equiemes plo_dela( = 50, m = 1, = 25, =.885, level = "c") plo_ui_cuve Leaig Cuve Plo Plos he leaig cuve fo uis m hough. Allows you o choose bewee he Cawfod ad Wigh models ad also bewee a ui level plo o a cumulaive level plo.

10 10 ui_block_summay plo_ui_cuve(, m,,, model = "u", level = "u") ime (o cos) equied fo he mh ui of poducio m mh ui fo which you have ime (o cos) ifomaio (defaul is m = 1) h ui of poducio you wish o plo he leaig cuve hough ( > m) model level leaig cuve ae choose bewee he Cawfod ("u") o Wigh ("ca") models o plo boh models wih "boh" plo he leaig cuve a he ui ("u") o cumulaive ("c") level # libay(leaigcuve) # A esimao was o plo he leaig cuve fo fo uis # oe hough 125 whee he fis ui equies 100 hous ad # he leaig ae is 85%. # plo he ime (o cos) pe ui based o Cawfod's Ui # Leaig Cuve Fucio #' plo_ui_cuve( = 100, m = 1, = 125, =.85) # plo he cumulaive ime (o cos) pe ui based o Cawfod's # Ui Leaig Cuve Fucio #' plo_ui_cuve( = 100, m = 1, = 125, =.85, level = "c") # plo he ime (o cos) pe ui based o Wigh's Cumulaive # Aveage Leaig Cuve Fucio #' plo_ui_cuve( = 100, m = 1, = 125, =.85, model = "ca") # plo he cumulaive ime (o cos) pe ui based o Wighs's # Cumulaive Aveage Leaig Cuve Fucio #' plo_ui_cuve( = 100, m = 1, = 125, =.85, model = "ca", level = "c") ui_block_summay Block Summay Fucio Povides summay ifomaio fo he block coaiig uis m hough (whee > m). Based o Cawfod s ui leaig cuve model. ui_block_summay(, m,,, a.m = FALSE)

11 ui_cum_appx 11 m a.m ime fo he mh ui lowe boud ui of poducio block uppe boud ui of poducio block leaig cuve ae Should NA values be emoved? # A poducio block us fom ui 201 o ui 500 iclusive. # The 201s ui had a equied ime of 125 hous wih a 75% # leaig cuve, wha is he block summay? ui_block_summay( = 125, m = 201, = 500, =.75) ## $ block uis ## [1] 300 ## $ block hous ## [1] ## $ midpoi ui ## [1] ## $ midpoi hous ## [1] ui_cum_appx Appoximae Cumulaive Ui Leaig Cuve Fucio Povides he appoximae cumulaive ime o cos equied fo uis m hough (iclusive) usig he Cawfod ui model. Povides ealy he exac oupu as ui_cum_exac(), usually oly off by 1-2 uis bu educes compuaioal ime dasically if yig o calculae cumulaive hous (coss) fo ove a millio uis. ui_cum_appx(,,, m = 1, a.m = FALSE) m a.m ime (o cos) equied fo he mh ui of poducio The ui you wish o pedic he cumulaive ime (o cos) o leaig cuve ae mh ui of poducio (defaul se o 1s poducio ui) Should NA values be emoved?

12 12 ui_cum_exac libay(leaigcuve) # A esimao believes ha he fis ui of a poduc will # equie 100 labo hous. How may oal hous will be equied # fo 125 uis give he ogaizaio has hisoically expeieced # a 85% leaig cuve? ui_cum_exac( = 100, = 125, =.85) ## [1] # Compuaioal diffeece bewee ui_cum_exac() ad ui_cum_appx() # fo 1 millio uis sysem.ime(ui_cum_exac( = 100, = , =.85)) ## use sysem elapsed ## sysem.ime(ui_cum_appx( = 100, = , =.85)) ## use sysem elapsed ## ui_cum_exac Exac Cumulaive Ui Leaig Cuve Fucio Povides he exac cumulaive ime o cos equied fo uis m hough (iclusive) usig he Cawfod ui model ui_cum_exac(,,, m = 1, a.m = FALSE) m a.m ime (o cos) equied fo he mh ui of poducio The ui you wish o pedic he cumulaive ime (o cos) o leaig cuve ae mh ui of poducio (defaul se o 1s poducio ui) Should NA values be emoved? libay(leaigcuve) # A esimao believes ha he fis ui of a poduc will # equie 100 labo hous. How may oal hous will be equied # fo 125 uis give he ogaizaio has hisoically expeieced # a 85% leaig cuve?

13 ui_cuve 13 ui_cum_exac( = 100, = 125, =.85) ## [1] ui_cuve Cawfod s Ui Leaig Cuve Fucio Pedics he ime o cos of he h ui give he ime of he mh ui ad he leaig ae ui_cuve(,,, m = 1, a.m = FALSE) m a.m ime (o cos) equied fo he mh ui of poducio h ui you wish o pedic he ime (o cos) fo leaig cuve ae mh ui of poducio (defaul se o 1s poducio ui) Should NA values be emoved? libay(leaigcuve) # A esimao believes ha he fis ui of a poduc will # equie 100 labo hous. How may hous will he 125h ui # equie give he ogaizaio has hisoically expeieced # a 85% leaig cuve? ui_cuve( = 100, m = 1, = 125, =.85) ## [1] # If he esimao was o assess he hous equied fo he # 125 ui give muliple leaig cuve aes <- c(.8,.85,.9,.95) ui_cuve( = 100, m = 1, = 125, = ) ## [1] # If he esimao has he ime equied fo he 100h ui ui_cuve( = 100, m = 100, = 125, =.85) ## [1]

14 14 ui_midpoi ui_midpoi Midpoi Ui Fucio Povides he so-called "midpoi" o aveage ui bewee uis m ad (whee > m). Based o Cawfod s ui leaig cuve model. ui_midpoi(m,,, a.m = FALSE) m a.m lowe boud ui of poducio uppe boud ui of poducio leaig cuve ae Should NA values be emoved? # If a poducio block us fom ui 201 o ui 500 iclusive # wih a 75% leaig cuve, wha is he midpoi ui? ui_midpoi(m = 201, = 500, =.75) ## [1]

15 Idex agg_cuve, 2 ca_block, 3 ca_ui, 3 cum_eo, 4 dela, 5 lc_ae, 6 lc_ae_es, 6 aual_slope, 7 aual_slope_es, 7 plo_block_summay, 8 plo_dela, 9 plo_ui_cuve, 9 ui_block_summay, 10 ui_cum_appx, 11 ui_cum_exac, 12 ui_cuve, 13 ui_midpoi, 14 15

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