SV | Df | SS | MSS | F |

Blocks | 5 | 27 | ? | ? |

Treatment | 4 | ? | ? | ? |

Error | ? | ? | 4 | |

Total | ? | 88 |

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Login Now**Solution:**

The given is of Randomized Block Design(RBD).

Numbers of blocks = r – 1 = 5 ⇒ r = 6

Numbers of treatment = t – 1 = 4 ⇒ t = 5

Error (for d.f) = (r-1)(t-1) = (6-1)(5-1) = 20

Total(for d.f) = rt – 1 = 6.5 – 1 = 29 **Note: You can also add DF for blocks, DF for treatment and error to get total DF.**

Now,

MSB = \(\frac{SSB}{df} = \frac{27}{5}\) = 5.4

\(MSE = \frac{SSE}{df}\)

\(4= \frac{SSE}{20}\)

SSE = 80

SST = TSS – SSE – SSB

SST = 88 – 80 -29

SST = -19

MST = \(\frac{SST}{df} = \frac{-19}{4}\) = -4.75

F_{block} = \(\frac{MSB}{SST} = \frac{5.4}{27}\) = 0.2

F_{treatment} = \(\frac{MSB}{SST} = \frac{5.4}{27}\) = 0.25

Hence, the table after filling missing value is

S.V. | d.f | S.S | MSS | F |

Blocks | 5 | 27 | 5.4 | 0.2 |

Treatments | 4 | -19 | -4.75 | 0.25 |

Error | 20 | 80 | 4 | |

Total | 29 | 88 |

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