Subscribe Now Subscribe Today
Research Article
 

A Control Chart Based on Ranked Data



Amjad D. Al-Nasser and Mohammad Al-Rawwash
 
Facebook Twitter Digg Reddit Linkedin StumbleUpon E-mail
ABSTRACT

In this study, a modified procedure of ranked set sampling is used to build the limits of X-bar chart. The performance of the X-bar chart based on ranked data is compared with the traditional limit specifications based on simple random samples. The simulation results showed that the control charts using the robust ranked set samples dominate the control charts based on other sampling techniques in terms of Average Run Length (ARL).

Services
Related Articles in ASCI
Similar Articles in this Journal
Search in Google Scholar
View Citation
Report Citation

 
  How to cite this article:

Amjad D. Al-Nasser and Mohammad Al-Rawwash , 2007. A Control Chart Based on Ranked Data. Journal of Applied Sciences, 7: 1936-1941.

DOI: 10.3923/jas.2007.1936.1941

URL: https://scialert.net/abstract/?doi=jas.2007.1936.1941

REFERENCES
1:  Albers, W., W.C.M. Kallenberg and S. Nurdiati, 2006. Robust extreme ranked set sampling. J. Stat. Plann. Inference, 13: 909-941.

2:  Al-Nasser, A., 2007. L ranked set sampling: A generalization procedure for robust visual sampling. Commun. Stat. Simul. Comput., 36: 33-43.
CrossRef  |  Direct Link  |  

3:  Champ, C.W. and W.H. Woodall, 1987. Exact results for shewhart charts with supplementary run rules. Tecnometrics, 29: 393-399.

4:  Chen, Z., Z.D. Bai and B.K. Sinha, 2004. Ranked Set Sampling: Theory and Applications. Springer-Verlag, New York.

5:  Dell, T.R. and J.L. Clutter, 1972. Ranked set sampling theory with order statistics background. Biometrics, 28: 545-553.

6:  Harter, H.L. and N. Balakrishnan, 1996. CRC Handbook of Tables for the Use of Order Statistics in Estimation. CRC Press, Boca Raton, FL.

7:  Hossain, S.S. and H.A. Muttlak, 1999. Paired ranked set sampling: A more efficient procedure. Environmetrics, 10: 195-212.
Direct Link  |  

8:  Hossain, S.S. and H.A. Muttlak, 2001. Selected ranked set sampling. Aust. N.Z. J. Stat., 43: 311-325.
Direct Link  |  

9:  Jesse, F.C., 2007. New imperfect rankings models for ranked set sampling. J. Stat. Plann. Inference, 137: 1433-1445.
Direct Link  |  

10:  McIntyre, G.A., 1952. A method for unbiased selective sampling, using ranked sets. Aust. J. Agric. Res., 3: 385-390.

11:  Modarres, R., T.P. Hui and G. Zheng, 2006. Resampling methods for ranked set samples. Comput. Stat. Data Anal., 51: 1039-1050.
CrossRef  |  ISI  |  

12:  Montgomery, D.C., 2001. Introduction to Statistical Quality Control. 4th Edn., John Wiley and Sons, New York.

13:  Muttlak, H.A., 1997. Median ranked set sampling. J. Applied Stat. Sci., 6: 245-255.

14:  Muttlak, H.A. and W. Al-Sabah, 2003. Statistical quality control based on pair and selected ranked set sampling. Pak. J. Statist., 19: 107-128.
Direct Link  |  

15:  Salazar, R.D. and A.K. Sinha, 1997. Control chart based on ranked set sampling. Comun. Tecica, No. 1-97-09 (PE/CIMAT).

16:  Samawi, H., W. Abu-Dayyeh and M.S. Ahmed, 1996. Estimating the population mean using extreme ranked set sampling. Biometrical J., 38: 577-586.
Direct Link  |  

17:  Takahasi, K. and K. Wakimoto, 1968. On unbiased estimates of the population mean based on the sample stratified by means of ordering. Ann. Instit. Stat. Math., 20: 1-31.

©  2020 Science Alert. All Rights Reserved