Plastic

library(mdatools)
library(prospectr)
library(kableExtra)
library(tidyverse)

The dataset

We have 845 sample measured with NIR spectroscopy, in a range from 1330 to 1900 nm. (Calvini et al. 2018)

You can see below the first 50 rows

df = read.csv('Plastic.csv') 
colnames(df) = c('','','Plastic_type','',1330.06,1336.09,1342.13,1348.16,1354.19,1360.22,1366.26,1372.29,1378.32,1384.36,1390.39,1396.42,1402.46,1408.49,1414.52,1420.55,1426.59,1432.62,1438.65,1444.69,1450.72,1456.75,1462.78,1468.82,1474.85,1480.88,1486.92,1492.95,1498.98,1505.02,1511.05,1517.08,1523.11,1529.15,1535.18,1541.21,1547.25,1553.28,1559.31,1565.34,1571.38,1577.41,1583.44,1589.48,1595.51,1601.54,1607.58,1613.61,1619.64,1625.67,1631.71,1637.74,1643.77,1649.81,1655.84,1661.87,1667.91,1673.94,1679.97,1686,1692.04,1698.07,1704.1,1710.14,1716.17,1722.2,1728.23,1734.27,1740.3,1746.33,1752.37,1758.4,1764.43,1770.47,1776.5,1782.53,1788.56,1794.6,1800.63,1806.66,1812.7,1818.73,1824.76,1830.79,1836.83,1842.86,1848.89,1854.93,1860.96,1866.99,1873.03,1879.06,1885.09,1891.12,1897.16,1903.19)
df = df[,-c(1,2,4, 101)]


kable(df[1:50,], row.names = T) %>% kable_styling('striped', fixed_thead = T, full_width = FALSE) %>%
  scroll_box( height = "500px")

	Plastic_type	1330.06	1336.09	1342.13	1348.16	1354.19	1360.22	1366.26	1372.29	1378.32	1384.36	1390.39	1396.42	1402.46	1408.49	1414.52	1420.55	1426.59	1432.62	1438.65	1444.69	1450.72	1456.75	1462.78	1468.82	1474.85	1480.88	1486.92	1492.95	1498.98	1505.02	1511.05	1517.08	1523.11	1529.15	1535.18	1541.21	1547.25	1553.28	1559.31	1565.34	1571.38	1577.41	1583.44	1589.48	1595.51	1601.54	1607.58	1613.61	1619.64	1625.67	1631.71	1637.74	1643.77	1649.81	1655.84	1661.87	1667.91	1673.94	1679.97	1686	1692.04	1698.07	1704.1	1710.14	1716.17	1722.2	1728.23	1734.27	1740.3	1746.33	1752.37	1758.4	1764.43	1770.47	1776.5	1782.53	1788.56	1794.6	1800.63	1806.66	1812.7	1818.73	1824.76	1830.79	1836.83	1842.86	1848.89	1854.93	1860.96	1866.99	1873.03	1879.06	1885.09	1891.12	1897.16	1903.19
1	HDPE	49.956810	50.529991	49.910519	49.660446	49.411209	49.019981	48.085285	47.130291	45.463200	42.808727	39.734859	39.306255	41.099461	40.124249	38.589943	38.552151	39.135670	39.468658	39.729500	40.764797	41.615055	42.275475	42.793522	43.720242	44.823872	45.242889	45.428131	45.860390	46.099995	46.563286	46.485424	46.225227	46.245613	45.846676	45.687611	45.196396	46.078903	46.731430	47.112156	47.313164	47.354000	47.516464	47.704803	47.691246	47.563980	47.661751	47.706402	47.597870	47.498924	47.221752	47.030666	46.737408	46.585255	46.518593	46.062271	45.512993	44.736904	43.317646	42.252720	41.175575	39.834110	37.724052	34.143585	29.013434	24.985973	21.808865	18.6949902	18.4781723	23.180517	26.826016	28.254293	26.035536	23.227543	25.387726	28.362047	29.676945	30.617212	30.061108	29.747248	29.608038	29.749256	29.514587	29.720463	30.345249	30.709860	31.021883	31.694788	32.844917	33.393513	33.887444	34.493218	34.651611	33.765728	33.378128	33.279354	32.223701
2	HDPE	49.979176	49.820778	49.912209	49.591663	49.237083	48.857349	48.383080	47.174072	44.808926	42.659546	39.113167	39.240994	41.061344	40.109859	38.585999	38.690643	38.882336	39.520908	39.764999	40.621658	41.489387	42.129715	42.776123	43.630993	44.429645	45.167297	45.565758	45.581661	45.970379	46.232159	46.275734	46.187599	45.903641	45.923412	45.307629	44.981209	45.672062	46.474346	46.887489	47.102657	47.388821	47.374626	47.568058	47.335194	47.406788	47.659191	47.394024	47.386314	47.252384	47.143654	46.650192	46.449848	46.380436	46.246101	45.706036	45.155296	44.237377	43.195446	41.871174	40.722691	39.327270	37.388207	33.989849	29.053196	25.355082	22.364544	19.3275261	19.2803993	24.065943	27.244757	28.568611	26.396612	24.021170	26.126400	28.992189	30.251597	31.001028	30.344717	30.011440	30.179630	30.202705	30.107275	30.245604	30.725311	30.942390	31.280418	32.614132	33.226520	33.570324	34.227276	34.553650	34.651489	33.762436	33.478371	32.708508	32.120796
3	HDPE	5.314194	5.352741	5.258050	5.368448	5.330796	5.332414	5.275237	5.168358	5.073532	4.833104	4.657032	4.656220	4.889237	4.702186	4.631602	4.743300	4.678077	4.666938	4.733696	4.817415	4.908593	4.934736	4.996771	5.081306	5.104219	5.295037	5.195605	5.344612	5.280881	5.365461	5.376032	5.396406	5.387577	5.442570	5.404162	5.386155	5.356852	5.603152	5.577607	5.681109	5.649692	5.679550	5.615164	5.656310	5.688166	5.803099	5.702422	5.647524	5.753521	5.748147	5.765872	5.816126	5.761056	5.779773	5.640353	5.667868	5.607499	5.585668	5.376209	5.475877	5.191641	5.207758	4.845277	4.397765	4.042828	3.707119	3.5522931	3.4971466	3.907700	4.236386	4.400361	4.167247	3.998852	4.169477	4.355916	4.546861	4.534177	4.536243	4.611839	4.614955	4.719773	4.655804	4.814204	4.766128	4.838535	4.763815	5.024868	5.048781	5.132075	5.339280	5.293773	5.402554	5.506206	5.291094	5.816071	5.816071
4	HDPE	41.699627	41.576260	41.678104	41.823387	41.481331	40.741905	39.587353	37.357994	35.564709	31.196152	28.419121	25.735590	28.731968	27.782598	25.902355	25.826340	25.862829	26.636715	26.790466	27.892685	29.147633	29.905285	30.846088	32.423614	33.864498	34.678974	35.388992	36.217579	36.768391	37.199505	37.237495	37.220310	36.902855	36.548767	35.962616	35.135925	36.086170	37.968845	38.382767	38.822052	39.258419	39.576229	39.968502	39.892235	39.849583	39.695309	39.653496	39.624767	39.413586	39.116405	38.726032	38.227413	38.183800	37.466816	36.697636	35.570713	33.900356	32.137394	30.027153	27.903130	25.936623	23.671287	20.075531	15.134957	11.696692	9.593032	7.6005597	6.5745974	9.429092	11.702970	13.495029	12.079046	10.063274	10.780822	13.087393	14.046495	14.902461	14.447498	13.566914	13.776455	13.876403	13.569431	13.501769	14.047265	14.317000	14.523952	14.836215	15.802068	16.040514	16.882755	17.557770	17.921566	17.557581	17.971376	17.965280	19.046745
5	HDPE	22.247997	22.336971	22.339279	22.046837	21.711107	21.241674	19.922953	17.959330	15.687844	12.445774	9.870834	10.593883	11.320213	10.479988	9.295343	9.229338	9.604812	10.016840	10.230885	11.132236	11.887222	12.376067	13.181378	14.154892	15.142158	15.732399	16.141849	16.850903	17.248354	17.523327	17.561092	17.606266	17.355093	17.103546	16.607199	15.887226	17.252819	18.212847	18.734119	19.387989	19.567591	19.649078	19.883886	19.788492	19.765673	19.858192	19.838583	19.602602	19.386004	19.175814	19.149992	18.795244	18.471203	18.081476	17.653355	16.628200	15.412061	14.269388	12.612832	11.611421	10.461453	9.200527	7.298732	5.202080	4.165084	3.517647	3.0581670	3.0266345	3.562996	4.544744	4.855729	4.449663	3.772203	4.193770	4.985014	5.600283	5.658568	5.672587	5.441942	5.606412	5.530226	5.647555	5.652237	5.860918	5.919644	5.380410	7.046884	6.956879	7.066444	7.056026	8.068538	8.169780	8.609130	8.704529	8.934918	9.624622
6	HDPE	184.566940	184.395752	184.489716	184.356827	184.058350	184.375000	185.089310	183.331863	179.845901	178.997772	173.808990	173.775620	176.605911	175.720093	174.184799	174.496750	174.956818	177.163330	176.714752	179.137955	179.835220	181.018906	182.074036	183.298981	185.039902	185.710556	186.908051	187.130127	188.009323	188.177139	188.791321	188.805115	188.150330	188.185608	187.837647	187.100922	188.863754	190.284042	191.069367	190.460938	190.701355	191.229691	192.696472	192.218933	192.210785	191.651550	191.988174	191.993805	191.556671	191.439713	191.624069	191.887405	191.242142	191.824234	190.342148	190.029602	188.480682	186.741653	184.981888	183.410065	180.890106	177.944641	173.893082	168.072189	162.928223	159.958572	154.8712616	155.2583160	161.296448	164.855194	166.517685	164.734802	160.607437	163.287933	166.303726	168.736755	169.632706	168.853867	168.180527	168.636337	168.509552	166.885223	168.364319	168.687820	167.993149	171.000839	170.001694	171.550186	171.587875	171.351257	171.907517	171.920212	169.716080	163.934647	159.677704	152.546356
7	HDPE	70.045349	70.294434	70.211777	70.079575	69.687035	69.167992	68.428566	66.561066	63.617832	61.005615	55.855774	55.844498	58.897469	57.517963	55.616180	55.897289	55.972473	57.015705	57.048908	58.718704	59.979511	60.679558	61.479999	63.105351	64.525032	65.277672	65.775742	66.565071	66.848610	67.296654	67.497681	67.557404	67.122078	66.826332	66.195625	65.650833	66.582870	68.118591	68.426140	68.491516	69.057228	69.056595	69.252579	69.263008	69.145706	69.175278	68.838448	68.675201	68.498825	68.300781	67.931183	67.769684	67.075920	66.617264	65.798614	64.267303	63.140270	61.088219	58.441849	55.915833	53.308090	50.140121	44.904766	38.441559	33.772068	29.788883	25.4499550	25.4768543	31.265183	35.534863	36.710728	34.110420	30.974711	33.625786	37.340797	38.493862	39.347321	38.799496	37.749435	37.477444	37.444744	37.239555	37.370331	38.158306	38.038200	38.485264	39.618774	40.689964	41.214432	41.723751	42.732075	42.304234	41.753239	40.706345	40.093281	38.862335
8	HDPE	14.226215	14.237866	14.078778	14.287387	13.996961	13.689667	13.053472	12.167358	10.812555	9.058631	6.885637	7.144977	8.044934	7.585445	6.839287	6.966273	6.954542	7.370863	7.447098	8.012615	8.446185	8.873375	9.272399	9.876795	10.638625	10.990021	11.297626	11.598451	11.852533	11.997662	12.128433	12.153862	12.034995	11.942320	11.512555	11.167404	12.018586	12.522887	12.844986	12.999835	13.307966	13.399194	13.509226	13.468353	13.346122	13.529798	13.531907	13.442842	13.306109	13.195972	13.106055	12.902601	12.775635	12.711270	12.164295	11.604002	11.028619	10.203053	9.459084	8.726831	7.957120	6.881759	5.380104	3.314083	2.055745	1.406828	0.8576096	1.0144645	1.670671	2.648951	2.986168	2.342332	1.720094	2.266452	3.092751	3.587458	3.912876	3.633157	3.501970	3.566830	3.592363	3.385853	3.735377	3.721717	3.772484	3.923624	4.549825	5.149920	4.694745	5.113298	5.458505	5.858869	5.337754	5.878007	5.765809	5.628003
9	HDPE	20.382416	20.405605	20.166069	20.074560	19.829287	19.514238	19.098915	17.828644	15.897715	14.601570	13.924740	13.274040	13.938816	13.264552	12.588653	12.544495	12.740899	13.014243	13.464068	13.908873	14.255230	14.786015	15.119839	15.833163	16.523916	16.903063	17.239647	17.463865	17.581417	17.816330	17.874540	17.897482	17.647217	17.548231	17.053406	16.866413	17.651277	18.209602	18.371624	18.541777	18.713434	18.920124	19.036619	19.031694	19.067528	19.069941	18.947340	18.889994	18.793829	18.444891	18.448801	18.218840	17.933289	17.685213	17.266832	16.572941	15.710793	14.898260	14.011345	13.121488	12.097466	10.836021	9.108481	6.930013	6.008186	5.226010	4.3935981	4.8753357	5.938818	6.931101	6.924830	6.255104	5.711497	6.613014	7.141834	7.598983	7.894257	7.428990	7.256637	7.398265	7.268940	7.049394	7.214275	7.466998	7.356035	7.759721	7.851468	8.161696	8.125112	8.233006	8.603308	8.723758	8.208366	8.548651	8.437626	8.725940
10	HDPE	122.424271	122.548897	122.329521	123.076271	122.764229	122.171845	121.142784	119.538239	118.388153	114.108047	110.477837	111.017067	112.917206	112.012489	110.170929	109.978127	110.879890	111.923760	112.618164	113.453232	114.899322	115.875382	116.785149	118.681648	120.110435	121.116631	121.197205	122.025559	122.874497	123.346718	123.250587	123.748970	123.643509	122.635574	122.399200	122.266426	123.022942	124.532158	125.025055	125.570122	126.097328	126.303513	125.994972	125.808594	125.852028	126.068985	126.078880	125.634132	125.580010	125.402702	125.315239	124.983932	124.687691	124.363800	123.422699	122.606773	120.925407	119.186027	117.083458	114.660233	112.027687	109.228554	103.742073	97.606392	92.758865	88.396645	84.2225494	84.1250534	90.283669	94.674118	96.593720	92.945229	89.990669	92.782600	95.493355	97.157692	98.307693	98.106430	96.950302	97.364426	97.530273	97.796829	98.114365	98.081131	99.584549	99.168274	100.055412	101.705086	101.912590	104.203514	103.698112	103.647728	103.581673	101.674301	101.122826	96.438820
11	HDPE	27.273069	27.273069	27.609190	27.404526	27.159149	27.295555	26.508698	25.741480	24.435396	22.988239	21.047056	20.936932	21.989096	21.464983	20.515715	20.949558	21.020895	21.450552	21.655762	22.383711	22.756897	23.425974	23.956613	24.597851	25.213732	25.590653	25.928585	26.500460	26.831348	27.031858	27.199360	27.316669	27.471949	27.149490	27.106340	26.966467	27.511932	28.457775	28.655651	28.815338	29.029732	29.108109	29.332460	29.566778	29.607752	29.613411	29.711573	29.685587	29.673635	29.506867	29.372177	29.232502	29.300531	29.314190	29.109633	28.675611	28.135004	27.466700	26.638640	25.971239	25.149895	23.856970	20.779350	16.880630	14.141077	12.753958	11.7792759	11.7140188	13.556381	15.390755	16.644049	15.110256	13.556791	15.078876	17.005136	17.860384	18.491266	18.249708	17.578636	17.898127	17.671705	17.489954	17.647310	18.330461	18.297714	18.802168	19.404400	20.178854	20.431479	20.830952	21.383530	21.258617	20.650271	20.551949	19.974041	19.967266
12	HDPE	23.529413	23.642675	23.463007	23.178284	22.748009	22.432434	21.129757	19.659126	17.679594	15.358932	12.558197	12.334038	13.558953	13.036754	11.955560	12.057548	12.148666	12.617917	12.884503	13.691291	14.264361	14.811307	15.304817	16.198116	16.892321	17.616201	18.269493	18.745745	18.888597	19.409899	19.550640	19.454435	19.399265	18.862148	18.585621	18.045036	18.797186	19.959387	20.307808	20.746286	21.045885	21.346306	21.711237	21.579197	21.463488	21.601088	21.562523	21.525967	21.440147	21.308102	21.091406	20.868418	20.851414	20.334671	19.897631	19.225717	18.194592	16.952740	15.796714	14.901101	13.944798	12.988318	11.065071	9.070183	7.893336	6.870619	6.5558181	6.6833191	7.717786	8.775450	9.278319	8.192003	7.814051	8.108281	9.077966	9.955879	10.305514	9.898408	10.045616	10.195805	10.036558	10.053525	10.143066	10.639623	10.899151	10.662102	11.241958	11.861386	12.071765	12.798576	12.806802	13.040566	13.228907	12.719541	12.848570	12.902691
13	HDPE	11.837189	12.113221	12.096976	12.042124	11.817459	11.697043	11.167252	10.465852	9.648577	8.360724	6.532591	6.078587	7.214873	6.833008	6.180224	6.092833	6.373952	6.521968	6.667711	7.018591	7.547074	7.951154	8.309661	8.920609	9.407599	9.845952	10.003976	10.319189	10.400246	10.580936	10.705209	10.621451	10.437964	10.477779	10.233348	9.899738	10.390801	10.967184	11.206194	11.322298	11.443690	11.630607	11.552728	11.696903	11.583348	11.577578	11.630360	11.508045	11.416904	11.366942	11.085906	11.004190	11.017405	10.872387	10.570002	10.220464	9.741667	9.013529	8.236878	7.617983	6.801793	5.902718	4.641153	3.135206	2.180126	1.597870	1.2462409	1.1066037	1.775364	2.273333	2.717377	2.245180	1.836752	2.038120	2.543092	2.986414	3.271837	3.287001	2.967242	3.110216	2.979845	2.995825	2.988087	3.185312	3.195390	3.354925	3.590651	3.813709	4.062905	4.245581	4.357798	4.643584	4.427907	5.046481	4.573873	4.973660
14	HDPE	25.302475	25.302475	25.551105	25.498770	25.424048	25.527689	24.595762	24.606773	23.136839	22.330097	20.166958	20.760317	21.485449	20.977316	20.255094	20.198021	20.715078	20.757357	21.053095	21.461388	21.797926	22.060532	22.684048	23.128016	23.529652	23.455290	23.623287	24.041103	24.349073	24.403111	24.370396	24.613403	24.331190	24.124783	24.561939	24.390615	24.224403	24.590101	24.963278	24.902828	25.171928	25.073019	25.444449	25.197460	24.871475	25.116135	25.270101	25.090687	25.051687	25.304062	25.343424	25.121651	24.812876	24.814438	24.501425	24.512093	23.904125	23.010603	22.528925	22.020605	20.939976	19.685799	17.707180	15.326092	13.173573	11.855195	10.5445452	10.9269619	12.810499	14.425068	15.027752	13.773443	12.625055	14.025392	15.227630	15.908501	16.192461	15.719565	15.665957	15.627744	15.548039	15.507706	15.316554	15.709884	15.930113	16.072304	16.627518	17.073917	17.474146	17.704084	18.057688	17.990404	17.619247	16.995928	17.571512	16.308292
15	HDPE	11.589417	11.609168	11.502283	11.415121	11.152735	10.757946	10.137949	8.930205	8.131063	6.879366	5.814630	5.275948	5.921507	5.759630	5.048096	5.190176	5.230085	5.426239	5.467869	5.784163	6.173530	6.296835	6.621317	6.931955	7.334902	7.541457	7.916608	7.877462	8.183502	8.213553	8.441080	8.590022	8.589304	8.471590	8.336126	8.190713	8.615912	8.955175	9.327806	9.452621	9.591168	9.726515	9.864865	9.758054	9.814869	9.803533	9.723968	9.812481	9.636220	9.567706	9.295086	9.238824	9.212194	9.050016	8.673194	8.553105	8.055119	7.726004	7.018408	6.605770	6.076937	5.488956	4.405738	2.812651	1.982698	1.336419	0.9354715	0.8162951	1.470929	2.336174	2.207818	2.075311	1.456571	1.869318	3.043746	3.243823	3.309640	3.296800	3.069099	3.009416	3.214799	3.016506	3.186983	3.407984	3.443838	3.554305	3.813084	4.090982	4.084097	4.372602	4.596506	4.279559	4.501607	4.522738	4.502369	4.090909
16	HDPE	15.942514	16.217625	16.112743	15.683356	14.871199	13.861773	12.876647	11.237840	9.156627	7.821250	5.976489	5.888426	6.805231	6.327680	5.757426	5.789674	6.039587	6.178762	6.263426	6.907348	7.516922	7.808620	8.155085	8.854086	9.512362	10.166250	10.480390	10.843886	11.267606	11.559260	11.687533	11.959227	11.934486	11.522182	11.113419	10.818687	11.693096	12.432967	12.857224	13.088005	13.339440	13.615854	13.664686	13.621185	13.634386	13.397355	13.308150	13.087568	12.611939	12.324176	11.875769	11.481272	11.534071	11.162061	10.779919	10.025875	9.349312	8.246133	7.035728	5.653964	4.706250	3.948111	2.911914	2.089048	1.720704	1.262576	1.2167997	1.2461791	1.416479	1.764947	2.184986	1.906008	1.698775	1.838453	2.202388	2.252984	2.477995	2.538683	2.385485	2.297961	2.394758	2.201487	2.362303	2.436131	2.459716	2.415525	2.641111	2.951002	2.984026	2.931280	3.421937	3.764140	3.474510	3.314394	4.804549	4.922760
17	HDPE	42.199417	42.533302	42.561276	42.611927	42.381825	41.844852	40.817512	39.098400	37.554138	34.067532	30.026634	28.418858	31.564949	30.825922	28.875868	28.503441	28.911816	29.513275	29.906450	30.968935	31.858208	32.802868	33.462704	34.652882	36.004280	36.825871	37.423935	38.014549	38.492729	38.830135	38.783562	38.904465	38.638901	38.241444	37.696503	36.947193	37.669472	39.163567	39.679802	39.968365	40.194405	40.503189	40.545292	40.604732	40.579166	40.627869	40.217171	40.114662	40.196865	39.716538	39.503471	39.463371	38.888233	38.659050	37.772030	36.932918	35.713860	33.957077	32.062664	30.330992	28.490177	26.503307	22.505642	17.282095	13.521594	11.074374	8.7585506	7.7373209	10.802511	13.597252	15.391737	14.174367	11.559092	12.349896	15.032927	16.293287	16.926495	16.714168	15.855814	15.929324	16.012430	15.828330	15.589196	16.204798	16.642819	16.466824	17.642452	18.138765	18.581194	19.522537	19.895288	20.277462	20.225250	20.768433	20.484551	21.324285
18	HDPE	9.558276	9.994579	9.793164	9.585610	9.379253	9.118455	8.556744	7.978964	7.443117	6.476460	5.045981	4.709728	5.381790	5.147874	4.737414	4.548834	4.803383	4.762974	4.964778	5.371979	5.571276	5.726290	5.943327	6.184531	6.757832	6.855510	7.048046	7.330998	7.339761	7.479908	7.612252	7.586564	7.443436	7.435711	7.359492	7.010211	7.444822	7.731144	7.877014	7.943069	7.898188	8.015312	7.999237	8.244018	8.116067	8.135110	8.224489	8.127735	8.093826	8.179120	7.949471	7.715335	7.795771	7.693260	7.478628	7.205321	6.819020	6.419561	5.935186	5.445482	5.015552	4.424733	3.597519	2.421072	1.880894	1.521176	1.2686081	1.1829110	1.518625	1.998467	2.162872	1.898606	1.703688	1.867721	2.085399	2.449333	2.576584	2.598725	2.615465	2.405874	2.572820	2.470754	2.539971	2.538071	2.786745	2.671882	2.849644	3.063002	2.712144	3.299556	3.544266	3.928075	3.580231	3.678817	3.898207	3.994674
19	HDPE	24.803284	24.803284	25.073538	25.024527	24.893074	24.711409	24.117176	23.537775	22.296051	21.179872	19.159479	18.621134	20.082722	19.485077	18.629129	18.888645	18.962978	19.530704	19.790756	20.186474	20.801676	21.443624	21.832605	22.419407	23.050316	23.645351	23.990261	24.428133	24.661213	24.680172	25.095491	25.110899	25.088863	25.109873	24.692890	24.672903	25.252251	25.893904	26.035433	26.414810	26.665062	26.813477	26.987291	27.045116	27.168007	27.070148	27.140810	27.138634	27.134909	27.072752	27.016705	26.763479	26.887070	26.681538	26.588598	26.156275	25.847654	25.209898	24.345499	23.706882	22.971966	21.762642	19.122568	15.524240	13.048418	11.697356	10.4169531	10.5581894	12.327846	13.892315	15.033927	13.641409	12.227987	13.382070	15.331513	16.205957	16.874191	16.477617	16.128769	16.019980	16.061451	16.087576	16.058237	16.461178	17.013582	17.104456	17.706753	18.582624	18.999754	19.330044	19.258419	19.507908	18.924551	18.712122	17.219498	17.266775
20	HDPE	5.803998	5.896159	5.730439	5.847051	5.737231	5.778226	5.560303	5.925264	5.371681	5.064844	4.576788	4.802457	5.036283	4.843486	4.606285	4.710714	4.674874	4.796792	4.853205	4.831423	5.026361	5.113043	5.239345	5.306655	5.490703	5.563189	5.619238	5.689627	5.758166	5.648392	5.782124	5.851298	5.728255	5.742543	5.791472	5.715179	5.833541	5.955358	5.862000	6.005216	6.163298	6.132350	6.124568	6.103027	6.237843	6.295879	6.269592	6.313527	6.233050	6.206304	6.294779	6.229835	6.261987	6.277520	6.045021	6.005508	5.872710	5.719796	5.566077	5.459291	5.275348	4.986396	4.511815	3.991876	3.513549	3.137204	2.8821437	3.0182767	3.350766	3.682666	3.886785	3.723912	3.447703	3.638791	3.928088	4.212225	4.401573	4.195502	4.146134	4.086080	4.248900	4.232619	4.271921	4.212853	4.376914	4.278716	4.616928	4.679140	4.749565	4.828856	5.233188	5.173377	5.327080	5.644232	5.378718	5.492098
21	HDPE	8.234985	8.225031	8.337653	8.312358	8.349129	8.105357	7.828092	7.180327	6.544704	5.880160	5.003912	5.319342	5.695573	5.319399	4.930408	5.052166	5.253272	5.345798	5.404060	5.565843	5.863480	6.060048	6.228257	6.640276	6.913809	7.000404	7.186195	7.346979	7.384654	7.462758	7.543763	7.469956	7.482534	7.426469	7.174415	7.220552	7.528066	7.647542	7.774774	7.944502	8.042485	7.920862	8.110352	8.026360	8.045595	7.993093	8.074285	8.046033	8.067642	7.926210	7.893726	7.734152	7.782506	7.652495	7.455044	7.240075	6.977092	6.604302	6.148231	5.820704	5.574496	5.093301	4.272672	3.330840	2.689116	2.873532	2.0271184	1.9752407	2.525422	3.114603	3.154298	2.857389	2.556702	2.916464	3.285453	3.608989	3.645867	3.540437	3.542995	3.519479	3.501821	3.549784	3.615640	3.735955	3.722416	3.784149	4.054262	4.105461	4.185740	4.502224	4.574009	4.600612	4.707877	4.521754	4.813218	5.425170
22	HDPE	53.394230	53.205147	53.135479	53.294617	53.105068	52.416897	52.197887	51.631977	50.777264	49.300331	47.882538	48.093777	48.301292	47.851490	46.343533	46.733517	47.041260	47.350017	47.091557	47.150246	47.340660	47.535698	47.530727	47.753853	48.076042	48.456722	48.326546	48.399582	48.774075	48.957279	49.060425	49.675636	49.397846	49.459766	49.335792	49.415375	49.679489	50.251209	50.315598	50.602932	50.849552	51.100388	50.841766	51.299026	51.872406	51.810905	52.038017	52.084568	52.402977	52.775848	52.651913	52.547073	52.747154	52.609947	52.760475	52.115757	51.512497	50.925156	50.032047	49.352097	48.517269	48.129959	46.864006	45.545078	44.593895	43.850159	43.5562744	43.6745262	43.988224	44.433124	45.000000	44.675541	43.854702	43.833576	44.834152	44.796642	45.197498	45.633900	45.201042	45.218136	45.441204	44.800922	45.159523	45.332355	45.241051	45.499103	45.779137	46.179256	45.934166	45.990814	46.199364	45.816052	44.674610	44.041161	41.272572	40.773148
23	HDPE	14.681440	15.183088	14.900983	14.608959	14.317415	14.032763	13.493449	12.569891	11.173887	9.637664	7.610773	7.621527	8.556957	8.251182	7.297146	7.302150	7.511764	7.708941	7.850098	8.465265	8.822744	9.300035	9.696322	10.239657	10.798675	11.283389	11.512794	11.903070	12.056102	12.090134	12.269652	12.228831	11.958862	11.914120	11.626860	11.264865	11.933261	12.315754	12.657957	12.835267	12.913876	13.072735	13.168489	13.132442	13.201178	13.089914	13.146098	13.021880	12.852087	12.804304	12.610101	12.478399	12.294545	12.192344	11.733581	11.245227	10.700844	9.968465	9.270495	8.561183	7.843442	7.067536	5.526357	3.948372	2.775922	2.169678	1.6869498	1.5817997	2.275072	3.156670	3.429778	2.976898	2.419474	2.784986	3.470501	3.973362	4.338655	3.929299	3.768484	3.797224	3.831443	3.815383	3.788966	3.996112	4.248766	4.184965	4.289464	4.698622	4.874794	5.351310	5.617140	5.480039	5.415748	5.644213	5.297860	5.109854
24	HDPE	14.913406	14.841392	15.158710	15.108830	14.884573	14.470877	13.858157	13.171936	12.126551	10.531146	8.599092	8.561976	9.636259	9.205258	8.259217	8.309652	8.529372	8.655548	8.922019	9.429425	9.808190	10.322053	10.460053	11.105265	11.675328	11.885421	12.219559	12.573507	12.774840	12.905539	13.078178	13.050793	12.916856	12.800907	12.590637	12.515018	12.866765	13.381224	14.012245	13.998814	14.159845	14.429966	14.537407	14.313347	14.406975	14.241850	14.228261	14.280282	14.289802	14.213431	13.923451	13.798570	13.852827	13.765790	13.435010	13.119902	12.646848	12.088241	11.314809	10.799765	10.003997	9.065271	7.139632	4.678101	3.067624	2.353673	1.6365005	1.9232085	2.582912	3.768323	4.231099	3.752557	2.591886	3.106753	4.261600	4.724318	5.156287	5.071643	4.715241	4.768107	4.826149	4.851533	4.917897	5.124197	5.245037	5.463398	6.195587	6.289944	6.434127	6.738000	7.071072	7.291271	6.962275	6.988577	7.355288	7.567346
25	HDPE	17.625259	17.546184	17.613325	17.320829	17.207769	16.869106	16.354177	15.415049	14.493871	13.139077	11.521849	11.251753	12.173820	11.798887	10.906491	10.956278	10.992741	11.194691	11.437638	11.564205	12.158570	12.517298	12.725609	13.343031	13.781718	14.120809	14.407769	14.752956	15.105731	15.235705	15.321169	15.609598	15.581711	15.662147	15.493937	15.521482	15.913624	16.292461	17.018770	16.882750	17.050363	17.225138	17.244021	17.263056	17.372099	17.481634	17.129642	17.480328	17.543207	17.430428	17.449387	17.537615	17.263662	17.287476	17.065050	16.890663	16.581755	16.075806	15.351050	14.982817	14.157469	13.170181	11.038374	7.881096	5.348845	3.568155	2.0881746	2.2448840	4.050089	6.427916	7.131836	6.115539	4.258613	5.468033	7.418060	8.206616	8.769195	8.515207	8.177695	8.158069	8.141913	8.214343	8.090334	8.448800	8.835629	9.065092	9.701045	10.188974	10.398303	10.573866	10.868388	10.661345	10.183508	10.093458	9.749021	9.356364
26	HDPE	13.031542	13.160759	13.021060	13.197750	13.014351	12.646566	12.393417	11.587097	10.786884	9.477180	8.687446	7.927645	8.829231	8.591264	8.127533	7.967836	8.177982	8.447949	8.443724	8.738010	9.172878	9.389617	9.624603	10.098156	10.764590	11.061687	11.295903	11.668034	11.779777	11.962000	11.993937	11.962134	12.036444	11.894426	11.610254	11.251362	11.884397	12.284512	12.622699	12.886040	13.147631	12.894005	13.198583	13.279716	13.171873	13.261066	13.321240	13.135860	12.940274	13.072250	12.979693	12.943414	12.724302	12.545499	12.327037	11.918152	11.465004	10.913677	10.369191	9.824001	9.303323	8.674048	7.883311	6.792667	6.193421	5.712570	5.4463582	5.5272346	5.872726	6.173309	6.554366	6.336763	5.994211	6.027397	6.593840	6.788958	7.201459	6.901228	6.703991	6.831960	6.724409	6.650513	6.798954	6.716687	6.999613	7.142858	6.840294	7.319887	7.330894	7.427301	7.521522	7.412424	7.139269	6.666026	6.674741	6.764436
27	HDPE	15.860174	15.827118	15.835292	15.756528	15.547176	15.298543	14.595223	13.442838	12.096098	10.147624	8.080838	8.105910	9.133100	8.650261	7.737316	7.672835	7.949157	8.271349	8.474389	8.949299	9.331268	9.792206	10.349755	10.970279	11.644274	12.163769	12.317323	12.599709	12.831379	12.972827	13.178180	13.020949	12.919953	12.721742	12.410296	12.000194	12.685167	13.351126	13.621932	13.901021	14.066484	14.161766	14.186165	14.215308	14.205011	13.977463	14.094680	14.203796	13.943818	13.739687	13.679986	13.424979	13.231067	13.076636	12.701837	12.159298	11.443075	10.713288	9.814486	9.095177	8.282336	7.405749	5.753534	4.035862	2.802087	2.221921	1.6452835	1.6404995	2.313294	3.225714	3.680379	3.161889	2.451865	2.915044	3.833774	4.201981	4.353706	4.313266	4.052178	3.987951	4.017461	4.051698	4.112403	4.127291	4.392031	4.421896	4.819834	5.028296	5.378657	5.649432	5.941586	6.121016	5.722191	6.617456	6.412416	6.875754
28	HDPE	47.917393	47.917393	47.811802	48.075806	47.597870	47.199253	46.567585	45.025585	43.525566	40.854816	37.675919	37.275505	39.378193	38.171467	36.487724	36.895378	37.198318	37.761356	37.840008	38.836258	39.547756	40.170570	40.761677	41.529984	42.420761	42.940662	43.374794	43.999905	44.162228	44.074280	44.301235	44.263809	43.966110	43.669163	43.611336	43.065098	43.811706	44.560333	44.801662	45.051445	45.334431	45.565899	45.518597	45.557907	45.469921	45.356594	45.254112	45.182800	45.139606	44.805428	44.574501	44.346970	44.434078	44.254398	43.980251	43.176670	42.347012	41.261280	39.884720	38.715843	37.421555	35.350899	31.784849	26.553350	22.909937	19.830856	16.5982914	16.5687962	20.769775	24.528942	25.895039	23.752142	20.982700	22.957544	26.038763	27.157415	27.744953	27.525585	27.026594	27.116798	27.502317	27.118362	27.458132	27.857515	28.323656	28.490091	29.488113	30.256203	30.715359	31.512133	32.223518	32.247677	31.777369	31.453911	31.186478	30.097088
29	HDPE	83.930595	83.626579	83.595680	83.458679	82.950256	82.592056	82.025330	79.705620	76.297684	73.250443	67.738045	68.068359	70.900909	70.146156	67.177292	67.563347	68.480171	68.964600	69.416657	70.878838	71.930145	73.123390	74.092140	75.666946	77.156441	77.954262	78.806053	79.549141	79.962433	80.508591	80.460800	80.472633	80.241867	79.854935	79.173073	78.244835	80.044601	81.136414	81.610016	82.103081	82.349342	82.679176	83.075966	82.898880	82.796600	82.844414	82.911720	82.997040	82.297073	81.766441	81.676254	81.279968	80.884239	80.201675	79.290497	77.994431	76.384232	74.158417	71.211395	68.715736	65.688492	62.477902	57.341068	50.584248	45.906719	41.901188	37.5292358	37.2691345	43.364510	47.470547	48.979187	46.247528	43.222961	45.613739	49.214203	50.868587	51.796421	51.063450	50.004387	49.976021	49.949051	49.492222	49.863964	50.202625	50.453003	50.869228	52.405079	52.984879	53.886486	53.759251	54.805630	54.946629	52.923443	52.884266	51.002483	49.873303
30	HDPE	4.857786	4.848589	4.687767	4.703932	4.775249	4.643982	4.360898	4.835492	4.150443	3.902325	3.562549	3.602200	3.645668	3.606321	3.322522	3.428981	3.386843	3.516043	3.548076	3.555295	3.652540	3.677019	3.584552	3.894276	3.987035	4.030178	3.935616	4.043247	4.050912	4.017635	4.087483	4.167921	4.172826	4.147517	4.007591	4.052907	4.123946	4.268764	4.138670	4.268742	4.302638	4.252180	4.451768	4.337632	4.306124	4.370637	4.350376	4.365737	4.348219	4.421114	4.376588	4.340459	4.408809	4.207299	4.220674	4.131267	3.989875	3.859720	3.679563	3.604723	3.471726	3.319317	3.053773	2.622803	2.141839	1.837243	1.7007245	1.6344647	1.984179	2.272110	2.384891	2.310735	1.925844	2.195773	2.395104	2.488350	2.600362	2.505561	2.616049	2.575744	2.743311	2.649766	2.808934	2.471451	2.581077	2.682127	2.897668	3.034438	3.076297	3.089998	3.218975	3.345687	3.348966	3.414514	3.996283	4.130809
31	HDPE	7.213597	7.231657	7.155054	7.079853	7.039380	7.077052	7.059896	6.850149	6.452382	6.124355	5.806934	5.500201	5.819341	5.814290	5.616768	5.549199	5.665071	5.736903	5.791293	6.085132	6.020077	6.106759	6.283569	6.454432	6.743875	6.786963	6.811586	6.836761	6.911865	6.966818	7.068629	7.056799	7.050871	7.063237	7.023420	6.988918	7.039261	7.169093	7.234573	7.277895	7.326200	7.518225	7.497047	7.525084	7.583885	7.699888	7.574204	7.653862	7.541877	7.680625	7.718238	7.606366	7.689585	7.654834	7.662298	7.452673	7.323642	7.235164	6.982927	6.731894	6.660756	6.483015	5.822529	4.881762	4.116997	3.619162	2.8022881	2.8640282	3.855353	4.521386	4.768539	4.510861	3.887318	4.404109	5.028654	5.234290	5.618961	5.545171	5.313346	5.270991	5.412418	5.394222	5.714506	5.697548	5.711341	6.164384	6.109529	6.260148	6.126182	6.566031	6.677617	7.006095	6.637009	7.203919	7.576369	7.864345
32	HDPE	19.312927	19.412651	19.190552	19.345100	19.221161	18.904299	18.196100	17.171629	15.951702	13.931698	11.598118	12.236438	12.860641	12.166961	11.188352	11.285714	11.517178	11.750082	12.076322	12.751044	13.339367	13.987458	14.583179	15.301506	15.941714	16.472996	16.811642	17.136818	17.321678	17.541296	17.707863	17.780275	17.559227	17.259567	17.119465	16.840017	17.486265	18.166388	18.362948	18.518772	18.791977	19.067308	18.993992	18.974789	18.992363	19.101253	18.880764	18.852459	18.802519	18.701672	18.464474	18.261887	18.299000	18.084740	17.810816	17.127529	16.367571	15.306196	14.418306	13.453045	12.322824	11.041431	8.832546	6.192655	4.399896	3.448365	2.5450552	2.4706006	3.728587	4.884588	5.699187	4.750416	3.789174	4.268613	5.771233	6.324409	6.623292	6.610417	6.191714	6.033092	6.298007	6.095800	6.190783	6.447535	6.687005	6.861992	7.303143	7.560743	7.962574	8.340720	8.929087	8.803401	8.701497	9.470956	8.942390	8.590519
33	HDPE	6.848220	6.764706	6.681692	5.999933	6.518093	6.389041	6.180222	5.937315	5.394306	4.902810	4.070638	4.002204	4.097682	3.808692	3.568500	3.444723	3.483716	3.500999	3.573323	3.685596	3.875542	4.057008	4.015268	4.368819	4.589246	4.636465	4.731825	4.918491	5.078731	5.060051	5.683462	4.592052	5.519711	5.531271	5.595542	5.576995	5.830497	5.979932	6.232067	6.330853	6.400882	6.413018	6.625562	6.623282	6.662772	6.799798	6.938688	6.702514	6.687733	6.752050	6.849693	6.759432	6.773237	6.715929	6.598607	6.378100	6.249304	5.977889	5.753488	5.520926	5.141486	4.733306	3.991945	2.716845	1.958189	1.416584	1.1840039	1.1612903	1.639854	2.329347	2.520097	2.241430	1.616299	1.972346	2.548942	2.907146	2.973223	2.930429	2.728898	2.807938	2.925220	3.039249	2.817660	2.926926	3.128670	3.158811	3.299941	4.056804	3.349529	3.490434	3.289140	3.483059	2.853737	2.715365	2.408722	2.667383
34	HDPE	9.179882	9.179471	9.109100	9.116260	8.984571	8.629746	8.431137	7.792512	7.030971	5.936383	4.627048	4.831677	5.035607	5.004334	4.444688	4.489011	4.558654	4.633373	4.735656	5.053688	5.349710	5.646359	5.907956	6.279823	6.779089	7.025750	7.221512	7.470200	7.568758	7.738530	7.804797	7.866695	7.801253	7.605084	7.407749	7.190793	7.490843	8.079482	8.230194	8.431922	8.592775	8.757178	8.824268	8.815290	8.909120	8.878764	8.869461	8.685327	8.576989	8.702598	8.506132	8.502488	8.394522	8.200712	8.220557	7.676435	7.243945	6.766146	6.164692	5.724338	5.255503	4.760106	3.849633	2.747517	2.082255	1.654283	1.3287646	1.2972631	1.742505	2.300206	2.501355	2.196340	1.840456	2.140146	2.588130	2.870611	3.117388	2.931414	2.834429	2.916891	2.903890	2.919568	2.893974	2.957615	2.969243	3.299316	3.202034	3.556485	3.693822	3.803691	4.122967	4.054334	4.301864	4.780037	4.299226	5.106586
35	HDPE	31.385429	31.562994	31.598179	31.482752	31.512182	31.377867	30.564262	29.576372	28.181202	26.494528	23.844370	23.887014	25.321091	24.824057	24.115088	24.079452	24.523134	24.835957	24.983471	26.026337	26.556604	27.065700	27.767990	28.409908	29.350489	29.629732	30.121710	30.505518	30.896483	31.180777	31.457998	31.492056	31.225756	31.221083	30.948542	30.661259	31.431091	31.970135	32.520989	32.771633	33.121227	33.227512	33.360485	33.464382	33.621075	33.731651	33.625961	33.502884	33.576511	33.634048	33.498600	33.266682	33.381348	33.181057	32.804405	32.624653	31.691439	31.242445	29.951487	29.212265	28.372831	27.231989	24.552257	20.990341	18.376347	16.738543	15.0901241	15.1020288	17.308081	19.614994	20.986923	19.438656	17.579563	19.160347	21.223349	22.289900	22.967668	22.491886	22.105227	22.233561	22.243847	22.092113	22.418108	22.630159	22.935780	23.581284	23.946361	24.935743	25.318397	25.311640	25.942982	26.444420	25.687630	24.727837	24.943367	24.547712
36	HDPE	8.348432	8.281727	8.265990	8.442814	8.218365	8.253398	8.257609	8.123241	8.177957	8.126455	7.971889	7.962361	8.010111	8.100388	8.092622	8.049250	8.091703	8.038444	8.141695	8.168910	8.091235	8.286875	8.340185	8.442745	8.270800	8.445127	8.515045	8.509228	8.436413	8.341575	8.502827	8.491983	8.495322	8.544858	8.543381	8.552560	8.564353	8.637572	8.586966	8.637632	8.687358	8.755603	8.727894	8.702284	8.630895	8.792723	8.742528	8.669289	8.682020	8.713323	8.824755	8.755862	8.729496	8.754268	8.800978	8.718893	8.676548	8.594719	8.553031	8.484214	8.513381	8.428051	8.356262	8.065298	7.845751	7.843618	7.7063003	7.6961417	7.736208	7.975039	8.063377	7.938398	7.741103	7.824610	7.933253	7.957738	7.925043	8.008124	8.003987	8.081656	8.087869	8.073113	8.077603	8.177269	8.172565	8.093398	8.182854	8.283462	8.315610	8.341475	8.311759	8.313667	8.231429	8.325909	8.660410	8.439416
37	HDPE	19.615564	19.615564	19.735962	19.670801	19.638281	19.254173	18.654568	17.484268	16.344244	14.328578	11.882590	11.681064	13.030373	12.474355	11.088536	11.633116	11.770681	12.063492	12.299731	13.026159	13.742156	14.084724	14.794437	15.446435	16.095112	16.712950	17.006052	17.525549	17.728993	17.821949	17.687203	18.010727	17.755407	17.498688	17.396477	17.030394	17.652058	18.273460	18.530970	18.941772	19.204964	19.207171	19.208351	19.213747	19.193159	19.128691	19.167461	19.100914	19.073671	18.666540	18.552242	18.442053	18.307501	18.196638	17.978189	17.301367	16.625870	15.631728	14.424823	13.526594	12.472143	11.263026	8.870010	6.195263	4.439850	3.277479	2.1871488	2.2088137	3.456635	4.991666	5.540112	4.775147	3.654601	4.310625	5.632950	6.229937	6.663718	6.445030	6.199936	6.329600	6.173076	6.156494	6.304025	6.397915	6.781568	6.965395	7.197025	7.856113	8.042483	8.512775	8.771418	9.052998	9.280443	8.998455	9.102961	8.915858
38	HDPE	28.285120	28.287588	28.369944	28.069960	27.919830	27.453480	26.342081	24.199299	21.977508	18.876234	15.271379	15.115859	16.891266	16.187639	14.908366	14.758450	14.980633	15.784972	15.951263	16.896063	17.737417	18.624384	19.505480	20.632441	21.743170	22.602131	23.189102	23.730841	24.169664	24.565544	24.835037	25.016319	24.555897	24.364086	23.743742	23.313940	24.359776	25.525326	26.046433	26.468220	26.808605	27.159958	27.349522	27.297817	27.359478	27.273163	27.357305	27.216566	27.041460	26.707081	26.538679	26.252564	25.830927	25.552340	25.060652	23.988131	22.665951	21.070044	19.433586	18.148920	16.723986	14.975575	12.196165	9.458665	7.743070	6.806283	6.2786508	6.1631751	7.082631	8.278994	8.953882	8.068670	7.256161	7.964027	8.763723	9.587317	10.016946	9.916299	9.337763	9.546420	9.761231	9.541328	9.610660	9.890704	10.216625	10.334855	10.713047	11.378674	11.776182	11.974614	12.648717	12.706474	12.549529	12.566126	12.310246	11.618821
39	HDPE	5.669181	5.604977	5.694117	5.672733	5.680521	5.648984	5.677029	5.571662	5.303161	5.274893	5.011037	4.904110	4.980715	4.945507	4.851824	4.860418	4.931406	5.036963	4.844670	4.980853	5.110210	5.170901	5.223388	5.310803	5.411585	5.448266	5.396877	5.348516	5.437090	5.416714	5.464543	5.517737	5.591158	5.507900	5.514674	5.466985	5.518898	5.517738	5.562018	5.600750	5.574830	5.665284	5.675039	5.782051	5.741773	5.762720	5.658353	5.753654	5.760632	5.823009	5.850043	5.737051	5.837359	5.726685	5.782986	5.698044	5.528497	5.575746	5.312604	4.937670	5.280729	5.040081	4.870895	4.256620	3.893315	3.646765	3.4374454	3.4760566	3.753766	4.008667	4.176558	4.080004	3.834281	3.923936	4.175849	4.393516	4.612241	4.353193	4.466743	4.447425	4.427834	4.576460	4.518423	4.503753	4.543612	4.806737	4.724930	5.040095	4.957136	4.937560	5.367439	5.136815	5.285680	5.533911	6.200676	7.426199
40	HDPE	17.678541	17.601429	17.679207	17.417952	17.289736	16.773418	15.865101	14.678115	12.944198	10.955481	8.504310	8.473604	9.740369	9.062996	8.002592	8.193621	8.388210	8.469798	8.659729	9.482678	9.945926	10.978728	10.765175	11.488243	12.164657	12.771606	13.178141	13.552267	13.445882	13.919444	14.045658	13.915140	13.786682	13.550757	13.216787	12.899466	13.712286	14.361773	14.759384	15.111553	15.083361	15.395337	15.540505	15.461286	15.506006	15.576091	15.377407	15.301437	15.265457	14.984911	14.897734	14.907709	14.536758	14.178359	13.720258	13.156712	12.587151	11.469740	10.484291	9.810657	9.058922	8.016967	6.424917	4.463855	3.288628	2.577222	1.9535789	1.9866928	2.738856	3.693804	4.176379	3.476033	2.851614	3.374872	4.200820	4.724497	4.960214	4.858567	4.601250	4.685668	4.606006	4.554309	4.574954	4.904306	5.196058	5.245804	5.510892	6.304339	6.015305	6.370300	6.582421	6.910741	6.737432	6.944705	7.213899	7.528278
41	HDPE	32.852970	32.752991	32.380711	32.859936	32.502571	31.971571	31.996426	31.143702	30.808710	28.680187	27.852329	28.321064	28.780928	28.410076	27.560348	27.645605	27.598488	27.554365	27.756723	28.059122	28.237881	28.659933	29.121845	29.052836	29.688067	29.749809	29.967951	30.023270	30.322412	30.619507	30.702360	30.839130	30.585386	30.408718	30.094557	30.508984	30.608976	31.188610	31.375368	31.263534	31.483198	31.709166	31.587362	31.849812	32.231064	32.059761	32.100761	32.095074	31.821407	32.335510	32.244175	32.223213	32.307518	32.265472	32.212597	31.035908	31.079174	30.698341	30.068602	29.393351	28.619322	27.895731	26.804201	25.220533	23.895498	23.141844	22.3300457	22.6177292	23.557280	24.425619	25.113821	24.611759	23.658119	24.291969	25.259558	25.424549	25.780890	25.842976	25.442594	25.179539	25.529257	25.265488	25.659039	26.146116	26.265566	26.164087	26.382696	26.631432	26.814972	27.266500	27.667660	27.493778	27.412161	27.440657	25.408426	25.023863
42	HDPE	22.329981	22.341051	22.263842	22.219946	21.927052	21.617094	20.830008	20.178223	18.744427	17.342308	15.413556	15.476827	16.478950	15.938153	15.205379	15.196600	15.308223	15.393002	15.797204	16.257752	16.408529	17.058992	17.339334	17.869871	18.564440	18.644239	19.097891	19.277767	19.499721	20.020458	19.940550	19.832294	19.829817	19.741531	19.566822	18.992912	19.704445	20.257265	20.388830	20.686899	20.699167	20.929903	21.226118	21.304357	20.959118	21.223974	21.013157	21.277962	21.315268	21.203411	21.024448	20.995787	21.055389	20.845324	20.423096	19.993065	19.443678	18.768580	18.095093	17.299631	16.701040	15.757591	14.225985	12.167533	10.769970	9.869232	9.1723394	9.0967360	10.073730	11.373427	12.060174	11.267971	10.314549	11.077399	12.126345	12.649345	12.724878	12.727272	12.552434	12.577260	12.607656	12.745558	12.632551	12.885036	13.181802	13.294646	13.422561	14.251926	13.941268	14.427565	14.709606	14.792835	14.394383	14.276333	14.367066	14.138641
43	HDPE	23.583063	23.464483	23.726021	23.651566	23.254204	23.154982	22.356955	21.286274	19.717268	17.649799	15.267498	15.050805	16.557512	15.964087	14.906228	14.977886	15.120679	15.696175	15.775208	16.615837	16.857838	17.711351	18.349863	19.246584	19.913319	20.531656	20.770342	21.177618	21.607321	21.750206	21.928198	22.067209	21.840521	21.697409	21.383982	20.998520	21.637331	22.492081	22.966969	23.022348	23.192501	23.517954	23.654995	23.685583	23.783680	23.728533	23.624319	23.673441	23.560906	23.504988	23.213171	23.093660	22.922005	22.760321	22.347818	21.747248	21.133186	20.072899	19.213545	18.150528	17.344292	16.159376	13.978268	11.060955	8.873284	7.753321	6.4277787	6.3741403	8.051179	9.704476	10.592455	9.355366	8.084077	9.187774	10.765365	11.597353	11.995975	11.716260	11.241158	11.447002	11.400089	11.308691	11.418522	12.004916	11.828516	12.205479	12.617542	13.175141	13.678330	13.702599	14.261877	13.759628	13.914971	14.009745	14.523467	14.455783
44	HDPE	19.123918	19.387627	19.269499	18.817543	18.642380	18.301636	17.233345	15.747053	13.660923	11.288044	8.861345	8.587467	9.732557	9.191314	8.228794	8.216951	8.440976	8.821116	8.923389	9.724122	10.262556	10.697674	11.329540	12.198547	12.871846	13.571208	14.052198	14.609421	14.838795	15.151748	15.342964	15.262651	14.998239	14.801617	14.306448	13.912488	14.724462	15.606042	16.071070	16.528141	16.727442	16.928116	17.176285	17.068628	17.210491	17.057659	16.960127	16.861340	16.807539	16.672524	16.535055	16.102770	15.947313	15.507403	15.149567	14.385144	13.624072	12.361483	11.166962	10.276809	9.221077	8.144526	6.452580	4.466419	3.333240	2.497375	2.2851708	2.2800546	3.010318	3.910180	4.338586	3.385783	3.072244	3.736609	4.386441	4.947627	5.163090	5.038943	4.977527	4.986536	4.986121	5.105993	5.166078	5.393036	5.486410	5.506231	5.714055	6.237624	6.729989	6.787979	7.074488	7.499581	7.639729	7.487521	8.142135	7.954168
45	HDPE	5.254857	5.200641	5.258821	5.118313	5.249018	5.286007	5.101428	5.413131	5.026549	4.717257	4.477907	4.553833	4.631530	4.710636	4.410041	4.382701	4.487771	4.481284	4.579675	4.714019	4.668965	4.670807	4.684414	4.828186	4.818073	4.929255	4.912356	4.946176	5.074795	5.006044	5.021501	5.070970	5.105174	5.010363	4.996651	4.964476	5.117421	5.077965	5.172222	5.129177	5.227463	5.164320	5.217057	5.185849	5.182552	5.345643	5.272772	5.263512	5.274815	5.344254	5.285325	5.259615	5.259145	5.348456	5.200885	5.305294	5.091610	5.098079	5.076617	4.870106	4.772699	4.699480	4.388877	3.956771	3.682095	3.409776	3.1469893	3.1775458	3.490053	3.775072	3.980153	3.652980	3.536248	3.644472	3.960454	4.099534	4.242367	4.312901	4.109631	4.110294	3.990271	4.146629	4.206899	4.149225	4.362830	4.254045	4.366202	4.449312	4.664421	4.719198	4.847287	4.812916	4.810005	5.191707	5.436803	5.132217
46	HDPE	46.074249	46.140625	45.977406	45.920487	45.624454	45.690430	44.938526	44.661003	43.060066	42.429886	40.410728	40.074264	40.969261	40.669002	39.293194	39.862064	39.918163	40.073029	40.120735	40.390339	40.540680	40.780376	40.909645	41.368069	41.730446	41.934872	42.256267	42.667732	42.682697	43.154159	43.292808	43.415028	43.535248	43.502697	43.553112	43.217236	43.681751	44.282673	44.507492	44.942242	44.987156	45.354572	45.477123	45.676178	45.838467	46.406368	46.318375	46.217526	46.710335	46.584091	46.946735	46.812225	46.851318	46.857414	46.701546	46.364437	45.971161	45.217911	44.732822	43.998005	43.448925	42.822071	41.557865	40.200512	38.811455	38.193623	37.7465935	37.4163017	38.332561	39.033535	39.586578	39.372795	38.544220	39.076855	40.046963	40.643234	40.847641	41.007320	40.505657	40.622730	40.405083	40.219128	40.149216	40.467762	40.500305	41.297440	41.611919	41.675514	42.300297	41.124237	41.415665	41.669651	40.467281	38.551857	37.035091	35.826832
47	HDPE	11.025987	10.756862	10.794023	10.908923	10.677195	10.607316	10.324695	9.840945	9.158593	8.431385	7.366405	6.930484	7.631398	7.404319	7.274188	6.954521	6.803942	7.333827	7.296557	7.436234	7.749896	8.044758	8.209964	8.462921	8.844854	9.141521	9.348936	9.365732	9.542355	9.615810	9.710914	9.774039	9.680245	9.642040	9.523007	9.386666	9.502262	9.875161	10.024935	10.208613	10.281912	10.311439	10.343915	10.441565	10.448160	10.405694	10.388575	10.374536	10.316536	10.247333	10.090099	10.053056	10.011306	9.932173	9.791058	9.648620	9.200777	8.886017	8.273577	7.966676	7.608841	7.020635	6.158248	5.269064	4.492224	4.115238	3.8255837	3.6797132	4.193367	4.680950	4.869706	4.499038	4.212099	4.292602	4.935561	5.014854	5.355373	5.408600	5.018688	5.002512	4.985858	5.119984	5.028552	5.241136	5.239487	5.232116	5.535652	5.697031	5.872483	5.787660	5.938218	6.126049	5.904514	5.576272	6.629507	6.403941
48	HDPE	58.348339	58.700981	58.301205	57.318386	52.506954	46.221428	43.077316	40.157803	37.696548	34.759701	33.269592	32.029484	34.229321	35.450821	35.083900	36.117214	36.710175	37.002411	38.142201	38.687122	39.854385	40.845310	41.731300	43.090801	44.016048	45.000500	45.262844	45.687347	46.810387	48.326656	49.825336	50.691761	51.348839	52.154758	52.424740	52.348908	52.969120	53.470215	53.690182	53.864643	53.575661	53.204277	53.018043	52.473366	51.741062	51.118950	50.552452	50.135300	48.410225	45.942215	44.562100	43.329655	43.000900	42.881496	42.703953	41.882607	40.858814	38.432186	34.167515	25.948605	16.653582	14.420948	13.113133	12.501306	13.205887	12.744715	12.1695223	12.4972239	13.059946	14.224915	15.438916	15.603636	15.863777	15.906723	16.824989	17.525084	18.202057	18.052946	18.123236	17.765684	17.627556	17.592304	17.448240	17.584492	18.267300	19.046219	20.164917	21.037651	21.671301	22.201025	21.688320	21.458483	21.156000	21.113445	19.855429	19.468641
49	HDPE	27.071587	27.036934	27.148602	26.904989	26.668692	26.121590	25.145157	23.083124	20.538301	17.381867	13.661660	13.611195	15.684107	14.626955	13.411877	13.106825	13.419913	14.223007	14.224235	15.271178	16.206848	17.078539	17.931536	19.150322	20.220863	21.059055	21.730778	22.300310	22.708670	23.041565	23.253902	23.381872	23.042293	22.851515	22.234789	21.609697	22.821796	23.967218	24.426851	24.870075	25.028240	25.418503	25.775553	25.769138	25.801504	25.717239	25.639168	25.696222	25.402952	24.980602	24.957651	24.653385	24.195454	23.824247	23.327721	22.324747	20.925955	19.397778	17.880348	16.576412	15.217681	13.315181	10.511539	7.780687	6.217714	5.463473	4.9579782	4.9889746	5.671726	6.605147	7.295864	6.600563	5.873040	6.310649	7.672236	8.040558	8.344791	8.095329	7.724499	7.763860	7.807670	7.742414	7.738363	8.134040	8.110336	8.512177	8.960283	9.655332	9.907133	10.083221	10.671050	10.562891	10.289055	10.207267	10.329697	9.733311
50	HDPE	12.012687	11.724443	11.626548	11.516546	11.370465	10.982188	10.690579	9.941563	9.377523	8.378264	7.051328	7.051674	7.177773	6.710839	6.166510	6.197145	6.217234	6.218516	6.171697	6.482324	6.506773	6.840483	7.001767	7.353988	7.538979	7.781103	8.049050	8.269173	8.515559	8.636554	8.808782	8.954343	8.893919	9.175079	8.994141	9.048000	9.383401	9.763262	9.810009	10.004802	10.058549	10.351441	10.307260	10.422119	10.486199	10.471189	10.407630	10.723374	10.595742	10.432958	10.447761	10.627860	10.583619	10.503224	10.218219	10.200129	9.952650	9.517547	9.245174	8.818157	8.386878	7.849466	6.491454	4.710099	3.350340	2.510803	1.7772396	2.0053384	2.821755	3.996191	4.450540	3.830147	2.800677	3.642907	4.719552	5.053202	5.456388	4.934994	4.853585	4.939159	5.030680	4.851533	4.843446	5.145320	5.137721	5.332673	5.523055	5.751988	5.929767	5.874931	6.246615	5.637907	5.379224	4.620976	4.787466	4.626774

dft = t(df[-1]) %>% data.frame()

df1 = df[-1]

attr(df1, "xaxis.name") = "Wavelength, nm"
attr(df1, "xaxis.values") = colnames(df[-1]) %>% as.numeric()

mdaplot(df1, type = 'l', cgroup = factor(df[,1]), main = 'Raw data')

Standard Normal Variate (SNV)

Standard Normal Variate (SNV) is another simple way for normalizing spectra that intends to correct for light scatter. It operates row-wise:

\[ SNV_i = \frac{x_i - \bar{x_i}}{s_i} \]

dfsnv = standardNormalVariate(df1)
attr(dfsnv, "xaxis.name") = "Wavelength, nm"
attr(dfsnv, "xaxis.values") = colnames(df[-1]) %>% as.numeric()


mdaplot(dfsnv, type = 'l', cgroup = factor(df[,1]), main = 'SNV')

Mean centering

Before performing PCA you need to mean center the dataset after SNV processing.

\[ x_{ij}\ast = x_{ij} - \overline{x}_j \]

dfmean = scale(dfsnv, scale = F) %>% as.data.frame()


attr(dfmean, "xaxis.name") = "Wavelength, nm"
attr(dfmean, "xaxis.values") = colnames(df[-1]) %>% as.numeric()


mdaplot(dfmean, type = 'l', cgroup = factor(df[,1]), main = 'SNV + mean centering')

---

PCA

par(mfrow = c(1,1))
X = dfmean
attr(X, "xaxis.name") = "Wavelength, nm"
attr(X, "xaxis.values") = colnames(df[-1]) %>% as.numeric()

pc = pca(X)

plotVariance(pc, type = 'b')

We choose to keep the first three principal components

Score plots

plotScores(pc, cgroup = factor(df[,1]), cex = 0.5)

plotScores(pc, comp = c(1,3), cgroup = factor(df[,1]), cex = 0.5)

Loading plots

plotLoadings(pc, show.labels = T)

par(mfrow = c(1,2))
plotLoadings(pc, c(1,2), show.labels = F, type = 'l', legend.position = 'topleft')
plotScores(pc, cgroup = factor(df[,1]), cex = 0.5)

par(mfrow = c(1,2))
plotLoadings(pc, c(1,3), show.labels = F, type = 'l', legend.position = 'topleft')
plotScores(pc, comp = c(1,3) , cgroup = factor(df[,1]), cex = 0.5)

References

Calvini, Rosalba, Giorgia Orlandi, Giorgia Foca, and Alessandro Ulrici. 2018. “Development of a Classification Algorithm for Efficient Handling of Multiple Classes in Sorting Systems Based on Hyperspectral Imaging.” Journal of Spectral Imaging, December. https://doi.org/10.1255/jsi.2018.a13.