1、Designation: F1326 02 (Reapproved 2016) An American National StandardStandard Test Method forMeasuring Maximum Dry Volume of Utility VacuumCleaners1This standard is issued under the fixed designation F1326; the number immediately following the designation indicates the year oforiginal adoption or, i
2、n the case of revision, the year of last revision. A number in parentheses indicates the year of last reapproval. Asuperscript epsilon () indicates an editorial change since the last revision or reapproval.1. Scope1.1 This test method is applicable to any vacuum cleanerthat is classified as a utilit
3、y vac.1.2 The values stated in inch-pound units are to be regardedas standard. The values in parentheses are for information only.1.3 This standard does not purport to address all of thesafety concerns, if any, associated with its use. It is theresponsibility of the user of this standard to establis
4、h appro-priate safety and health practices and determine the applica-bility of regulatory limitations prior to use.2. Referenced Documents2.1 ASTM Standards:2E177 Practice for Use of the Terms Precision and Bias inASTM Test MethodsE691 Practice for Conducting an Interlaboratory Study toDetermine the
5、 Precision of a Test Method3. Significance and Use3.1 This test method describes a procedure to determine themaximum functional dry volume that the utility vac is capableof collecting.4. Apparatus4.1 Temperature and humidity indicators, to provide tem-perature measurements accurate to within 61F (61
6、2 C) andhumidity measurements accurate to within 62 % relativehumidity.4.2 Weighing Scale, the scale shall be accurate to 4 oz (114g) and have a weighing capacity of at least 120 lb (54.4 kg).5. Materials5.1 Water.6. Sampling6.1 A minimum of three units of the same model vacuumcleaner selected at ra
7、ndom in accordance with good statisticalpractice shall constitute the population sample.6.1.1 To determine the best estimate of maximum dryvolume for the population of the vacuum cleaner model beingtested, the arithmetic mean of the maximum dry volume of thesample from the population shall be establ
8、ished by testing it toa 90 % confidence level within 65 % of the mean value of themaximum dry volume.6.1.2 Annex A1 provides a procedural example for deter-mining the 90 % confidence level and when the sample sizeshall be increased.NOTE 1See Annex A1 for a method for determining 90 % confidencelevel
9、.7. Conditioning7.1 Test RoomThe test room should be maintained at 70F6 5F (21C 6 3C) and 45 to 55 % relative humidity.7.2 Condition the water in accordance with 7.1.8. Procedure8.1 Dry Pick Up Capacity:8.1.1 Calculate the volume in gallons of the dust drum usingthe appropriate formulas, neglecting
10、all projections into thedrum.8.1.2 Calculate all projections into the drum using theappropriate formulas in gallons.8.1.3 Subtract the total projection volumes from the dirtdrum volume to arrive at the maximum dry volume. Rounddown to the nearest14 gal (0.936 L).8.1.4 Record the maximum functional v
11、olume in gallons(litres) within14 gal (0.936 L).9. Procedure9.1 Dry Pick Up Capacity (Alternative Method):9.1.1 An alternative method is allowed when the shape ofthe vacuum cleaner is irregular, and the calculations of Section8 become complex.9.1.1.1 Block the inlet of the dust drum and fill it with
12、 water.9.1.1.2 Line the projections into the drum with an appropri-ate water-proof material and submerse into the dust drum.1This test method is under the jurisdiction ofASTM Committee F11 on VacuumCleaners and is the direct responsibility of Subcommittee F11.23 on Filtration.Current edition approve
13、d April 1, 2016. Published April 2016. Originallyapproved in 1991. Last previous edition approved in 2011 as F1326 02 (2011).DOI: 10.1520/F1326-02R16.2For referenced ASTM standards, visit the ASTM website, www.astm.org, orcontact ASTM Customer Service at serviceastm.org. For Annual Book of ASTMStand
14、ards volume information, refer to the standards Document Summary page onthe ASTM website.Copyright ASTM International, 100 Barr Harbor Drive, PO Box C700, West Conshohocken, PA 19428-2959. United States19.1.1.3 Allow the excess water to flow out of the dust drumand then measure the volume of the wat
15、er remaining in the dustdrum. Round down to the nearest14 gal.9.1.1.4 Record the maximum functional volume in gallons(litres) within14 gal (0.936 L).9.1.1.5 Repeat steps 9.1.1 9.1.1.4 two more times. Theaverage of the three tests represents the maximum dry func-tional volume that the utility vacuum
16、is capable of collecting.10. Precision and Bias310.1 PrecisionThese precision statements are based on aninterlaboratory test involving six (6) laboratories and four (4)units. The range of maximum functional volume of the unitswas from 4.8 to 14.6 gal.10.2 The statistics have been calculated as recom
17、mended inPractice E691.10.3 The following statements regarding repeatability limitand reproducibility limit are used as directed in Practice E177.10.4 Repeatability (Single-Operator-and Laboratory;Multi-Day Testing)The ability of a single analyst to repeatthe test within a single laboratory.10.4.1 T
18、he expected standard deviation of repeatability ofthe measured results within a laboratory srhas been found to bethe respective values listed in Table 1.10.4.2 The 95 % repeatability limit within a laboratory, r,has been found to be the respective values listed on Table 1,where r = 2.8 (Sr).10.4.3 W
19、ith 95 % confidence, it can be stated that within alaboratory a set of measured results derived from testing a unitshould be considered suspect if the difference between any twoof the three values is greater than the respective value of therepeatability limit r, listed in Table 1.10.4.4 If the absol
20、ute value of the difference of any pair ofmeasured results from three test runs performed within a singlelaboratory is not equal to or less than the respective repeatabil-ity limit listed in Table 1, that set of test results shall beconsidered suspect.10.5 Reproducibility (Multi-day Testing and Sing
21、le Opera-tor within Multiple Laboratories)The ability to repeat the testwithin laboratories.10.5.1 The expected standard deviation of reproducibility ofthe average of a set of measured results between multiplelaboratories, SRhas been found to be the respective valueslisted in Table 1.10.5.2 The 95 %
22、 reproducibility limit within a laboratory, R,has been found to be the respective values listed in Table 1,where R = 2.8(SR).10.5.3 With 95 % confidence, it can be stated that theaverage of the measured results from a set of three test runsperformed in one laboratory, as compared to a secondlaborato
23、ry, should be considered suspect if the differencebetween those two values is greater than the respective valuesof the reproducibility limit, R, listed in Table 1.10.5.4 If the absolute value of the difference between theaverage of the measured results from the two laboratories is notequal to or les
24、s than the respective reproducibility limit listedin Table 1, the set of results from both laboratories shall beconsidered suspect.10.6 BiasNo justifiable statement can be made on the biasof the method to evaluate maximum dry volume of utilityvacuum cleaners. Since the true value of the property can
25、not beestablished by an acceptable referee method.11. Keywords11.1 dry volume; filtration; utility vacuum cleaner3Supporting data have been filed at ASTM International Headquarters and maybe obtained by requesting Research Report RR:F11-1009.TABLE 1 Repeatability and ReproducibilityMax. FunctionalVo
26、lume (gallons)Standard Deviation ofRepeatability,SrRepeatability Limit,rStandard Deviation ofReproducibility,SRReproducibility Limit,R5 gal. and less 0.068 0.190 0.380 1.063Over 5 gal. 0.118 0.3297 0.468 1.3116F1326 02 (2016)2ANNEX(Mandatory Information)A1. DETERMINATION OF THE POPULATION MEAN HAVIN
27、G 90 % CONFIDENCE INTERVALA1.1 TheoryA1.1.1 The most common and ordinarily the best singleestimate of the population mean, , is simply the arithmeticmean, X, of the individual scores (measurements) of the unitscomprising a sample taken from the population. The averagescore of these units will seldom
28、 be exactly the same as thepopulation mean; however, it is expected to be fairly close sothat in using the following procedure it can be stated with 90 %confidence that the true mean of the population, , lies within5 % of the calculated mean, X, of the sample taken from thepopulation.A1.1.2 The foll
29、owing procedure provides a confidence in-terval about the sample mean that is expected to bracket , thetrue population mean, 100(1 ) % of the time where is thechance of being wrong. Therefore, 1 is the probability orlevel of confidence of being correct.A1.1.3 The desired level of confidence is 1 = 0
30、.90 or90 % as stated in Section 6. Therefore = 0.10 or 10 %.A1.1.4 Compute the mean X, and the standard deviation, s,of the individual scores of the sample taken from the popula-tion:X51n(i51nXi(A1.1)s 5!n(i51nXi22S(i51nXiD2nn 2 1!where:n = number of units tested, andXi= the value of the individual
31、test unit score of the ith testunit. As will be seen in the procedural example tofollow, this is the average value of the results from threetest runs performed on an individual test unit with theresulting set of data meeting the repeatability require-ments of Section 10.A1.1.5 Determine the value of
32、 the t statistic for n 1degrees of freedom (df) from Table A1.1 at a 95 % confidencelevel.NOTE A1.1The value of t is defined at t1-/2and is read as “t at 95 %confidence”.t statistic 5 t12/25 t0.95(A1.2)where:1/2 = 1 0.10/2=10.05 = 0.95, or 95 %.A1.1.6 The following equations establish the upper andl
33、ower limits of an interval centered about Xthat will providethe level of confidence required to assert that the true popula-tion mean lies within this interval:CIU5 X1ts/=n (A1.3)CIL5 X1ts/=n (A1.4)where:CI = confidence interval (U upper limit; L lower limit),X= mean score of the sample taken from t
34、he population,t = t statistic from Table A1.1 at 95 % confidence level,s = standard deviation of the sample taken from thepopulation, andn = number of units tested.A1.1.7 It is desired to assert with 90 % confidence that thetrue population mean, , lies within the interval, CIUto CIL,centered about t
35、he sample mean, X. Therefore, the quantityts/=n shall be less than some value, A, which shall be 5 % ofXin accordance with the sampling statement of 6.1.A1.1.8 As n, ts/=n 0.As this relationship indicates,a numerically smaller confidence interval may be obtained byusing a larger number of test units
36、, n, for the sample.Therefore, when the standard deviation, s, of the sample islarge and the level of confidence is not reached after testingthree units, a larger sample size, n, shall be used.A1.2 ProcedureA1.2.1 Agraphical flow chart for the following procedure isshown in Fig. A1.1.A1.2.2 Select t
37、hree units from the population for testing asthe minimum sample size.A1.2.3 Obtain individual test unit scores by averaging theresults of three test runs performed on each of the threeindividual test units. The data set resulting from the three testruns performed on each individual test unit shall m
38、eet therespective repeatability requirement found in Section 10.A1.2.4 Compute Xand s of the sample.A1.2.5 Compute the value of A where A = 0.05 (X).TABLE A1.1 Percentiles of the t Distributiondf t0.951 6.3142 2.9203 2.3534 2.1325 2.0156 1.9437 1.8958 1.8609 1.83310 1.81211 1.79612 1.78213 1.77114 1
39、.76115 1.753F1326 02 (2016)3A1.2.6 Determine the statistic t for n - 1 degrees of freedomfrom Table A1.1 where n = the number of test units.A1.2.7 Compute ts/=n for the sample and compare it to thevalue to A.A1.2.8 If the value of ts/=n.A, an additional unit from thepopulation shall be selected and
40、tested, and the computationsof A1.2.3 A1.2.7 repeated.A1.2.9 If the value of ts/=n,A, the desired 90 % confi-dence level has been obtained. The value of the final Xmay beused as the best estimate of the maximum dry volume for thepopulation.A1.3 ExampleA1.3.1 The following data are chosen to illustra
41、te how thevalue of maximum functional volume for the population ofutility vacuum cleaners is derived. For this particular example,the measured volume test results from three test runs on eachunit are required to have a repeatability limit not exceeding0.190 as indicated in Table 1 for units of 5 gal
42、 and less.A1.3.2 Select three test units from the vacuum cleanermodel population. A minimum of three test runs shall beperformed using each test unit.A1.3.3 Test run scores for test unit No. 1:Test run No. 1 = 4.9Test run No. 2 = 5.2Test run No. 3 = 4.8A1.3.4 Maximum spread = 5.2 4.8 = 0.4. This val
43、ue isgreater than the repeatability limit required in Table 1. Theresults shall be discarded and three additional test runs per-formed.A1.3.5 Test run scores for test unit No. 1:Test run No. 4 = 4.9FIG. A1.1 Testing Procedure FlowchartF1326 02 (2016)4Test run No. 5 = 5.1Test run No. 6 = 5.1A1.3.6 Ma
44、ximum spread = 5.1 4.9 = 0.1. This value is lessthan the repeatability limit requirement of Table 1.A1.3.7 Unit No. 1 score (4.9 + 5.1 + 5.1)/3 = 5.0.NOTE A1.2If it is necessary to continue repeated test run sets (7, 8,910, 11, 12-etc.) because the spread of data within a data set is not lessthan th
45、e repeatability limit requirement stated in Table 1, there may be aproblem with the test equipment, the execution of the test procedure, orany of the other factors involved in the test procedure. Considerationshould be given to re-evaluating all aspects of the test procedure for thecause(s).A1.3.8 A
46、 minimum of two additional test units must betested, each meeting the repeatability limit requirement. Forthis procedural example, assume those units met the repeat-ability requirement and the individual unit scores area:Score of test unit No.1=5.0Score of test unit No.2=5.1Score of test unit No.3=4
47、.9A1.3.9 X= 1/3 (5.0 + 5.1 + 4.9) = 5.0A1.3.10s 5=35.0!315.1!214.9!2# 2 5.015.114.9#233 2 1!(A1.5)s = 0.1A1.3.11 A = 0.05 (5.0) = 0.25.A1.3.12 Degrees of freedom, n 1=31=2;t0.95statistic= 2.920.A1.3.13 ts/=n51.9200.1! /=350.168A1.3.14 The requirement that ts/=n,A has been met be-cause A is larger.A1
48、.4 Thus, the value of X, 5.0 gal represents the maximumfunctional volume of the utility vacuum and may be used as thebest estimate of the volume for the population mean.ASTM International takes no position respecting the validity of any patent rights asserted in connection with any item mentionedin
49、this standard. Users of this standard are expressly advised that determination of the validity of any such patent rights, and the riskof infringement of such rights, are entirely their own responsibility.This standard is subject to revision at any time by the responsible technical committee and must be reviewed every five years andif not revised, either reapproved or withdrawn. Your comments are invited either for revision of this standard or for additional standardsand should be addressed to
