Fractional factorial designs and fold-over

This video provides an introduction to fractional factorial two-level designs. Fold-over techniques are also discussed.
This video was recorded by Dr. Erik Vanhatalo, Quality technology and logistics, Luleå University of Technology (LTU), Sweden. The primary purpose of this video is to be learning material for undergraduate and graduate students following a course in design and analysis of experiments at LTU. The course book used in these courses are primarily: Montgomery, D.C. (2013). Design and Analysis of Experiments. Wiley.
Chapters:
0:00 Introduction
0:45 Sequential experimentation
1:39 Screening - appliction of fractional factorials
3:00 Illustration of the half fraction of a 2^k design
5:01 Definition of "design resolution"
5:50 Resolution III, IV and V designs
7:41 Design projection
9:53 Illustration of the one-quarter fraction of a 2^k design
11:54 Picking the highest resolution?
13:01 Solving aliasing problems through fold-over
15:26 Illustration of the full fold-over technique
18:17 The partial fold-over (semifold)
19:32 The (factorial) optimal fold-over
21:40 Main messages in this video

Пікірлер: 6

  • @punksnotdead4766
    @punksnotdead47663 жыл бұрын

    Great video Erik. How do you get the generators and the alias pattern for the full fold over?

  • @erikvanhatalo7

    @erikvanhatalo7

    3 жыл бұрын

    Thanks! Do you mean the 2(7-4) design? after full fold over? Trying to remember from last year. I do not think it may be explained easily in this comment. But alias patters can be calculated from the complete design, by hand. In this case I think I took it from the Design Expert software.

  • @punksnotdead4766

    @punksnotdead4766

    3 жыл бұрын

    @@erikvanhatalo7 Thanks for your reply Erik. I managed to figure out how to get the alias pattern for res III + full fold over. I’d like to ask two questions if I may 1. If you add a full fold over to a 2(3-1)III you get a 2^3 full factorial and you can analyse this using method of contrasts, Yates method or matrix methods. However, if we take the first 8 run res III (the 2(5-2)III) then add a fold over you don’t get a full factorial. What would you call this design? Does it even have a name? I can see how to calculate effects using the method of contrasts or matrix methods but I don’t think Yates method will work here. For 2 level full and fractional factorial designs Yates can be used to calculate effects but not for other designs (such as fractional factorial with full fold over added). Does what I’ve said make sense? Sorry for such a long rambling message.

  • @Edin12n
    @Edin12n3 жыл бұрын

    Hi Erik, Is there a way I can contact you e.g. by email? Thanks

  • @erikvanhatalo7

    @erikvanhatalo7

    3 жыл бұрын

    Contact info: www.ltu.se/staff/e/erivan-1.81005?l=en

  • @punksnotdead4766

    @punksnotdead4766

    3 жыл бұрын

    Thanks Erik