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Design of experiments for germination of vigna radiata

Design of experiments for germination of vigna radiata. 徐任飞，金雯，马莹，包璐璐，余贞富. Agenda. Introduction Design of experiment Data analysis Data analysis after data transformation Conclusion Q&A. Introduction. Background and Objective. Temperature Humidity Air Moisture Light condition

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Design of experiments for germination of vigna radiata

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  1. Design of experiments for germination of vigna radiata 徐任飞，金雯，马莹，包璐璐，余贞富

  2. Agenda Introduction Design of experiment Data analysis Data analysis after data transformation Conclusion Q&A

  3. Introduction

  4. Background and Objective • Temperature • Humidity • Air • Moisture • Light condition • Germinating bed • Soak time • Solution strength for soak

  5. Literature Review

  6. Design of experiment

  7. Design methodology • Response variable • Germination percentage • Where n is the number of germinated seeds • N is the total number • Germination rate • Where Dt is the number of days from growing • Gt is the number of seeds germinated at that day

  8. Design methodology Input variable

  9. Design methodology • Noise • Quality of the air • The same experiment location and time • Quality of the seeds • The same lot • Temperature • The same experiment location and time

  10. Design of the experiment • The 24-1 fractional factorial design • Alias structure • Resolution IV design

  11. Design of the experiment Design matrix

  12. Experiment implementation • 8 groups with 30 Vignaradiatas each • Soak the vignaradiatas which need 5 days soaking on the May, 22 at 23:20 • Soak the vignaradiatas which need 1 days soaking on the May, 26 at 23:20 • Plant all of them on the May, 27 at 23:20 • Water 2 or 3 times per day to keep culture medium humid • Check the germination condition at 23:20 each day and record the data • Calculate the germination rate and percentage

  13. Data analysis

  14. Main effects

  15. Main effects

  16. Interactions

  17. Factor effects estimation

  18. Statistical testing

  19. Model refinement

  20. Statistical testing 发芽率=83.75-14.58*光照条件

  21. Residual analysis

  22. Factor effects estimation

  23. Statistical testing

  24. Model refinement

  25. Statistical testing 发芽速率=17.081-6.416*光照条件-2.189*浸种时间

  26. Residual analysis

  27. The response surface(GP) • Soaking time has no significant effect and darkness can maximize GP • No interaction

  28. The response surface(GR) • One day soaking and darkness can maximize GR • No interaction

  29. Response optimization

  30. Data analysis after data transformation

  31. Data Transformation • Data transformation • Bounded response variable -> unbounded

  32. Main effects

  33. Main effects

  34. Interactions

  35. Factor effects estimation

  36. Model refinement

  37. Statistical testing 发芽率(变换)=3.608-2.681*光照条件-1.614*浸种时间+1.307*光照条件*浸种时间

  38. Residual analysis

  39. Factor effects estimation

  40. Model refinement

  41. Statistical testing 发芽速率=17.081-6.416*光照条件-2.189*浸种时间

  42. Residual analysis

  43. The response surface(transformed GP) • One day soaking and darkness can maximize GP • Interaction effect between soaking time and light condition.

  44. Response optimization

  45. Conclusion • Light condition and seed soaking time affect germination percentage and germination rate significantly, while culture medium and seed soaking solution do not have great influence on GP and GR. • Darkness and one day soaking time promote germination separately. Interaction effect between soaking time and light condition affects germination percentage. • The best solution is no sunlight and one day soaking time for both maximal GP and GR.

  46. Q&A

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