[R] ANOVA 1 too few degrees of freedom

Rovinpiper david.j.meehan at gmail.com
Wed May 4 23:43:44 CEST 2011


And I responded as follows:

Hi,

Thanks for your advice. I tried using table() to check for missing
data. Here are the results:

> table(Combined.Plot)

Combined.Plot

 60m   A1   B1   B3   B4   C5   C9   D2   D9 F60m   F8   Q7
 34     34   34    34   34    34    34   34    34   34      34   34

> table(Combined.Day)

Combined.Day

  1     2.5  7.5   8.5  10.5 12.5 14.5 17.5 18.5 19.5 21.5 24.5 29.5
32.5 37.5 50.5 79.5
  24   24    24   24    24    24    24   24    24    24   24   24
24 24 24 24 24

So this seems to indicate that I have what I want. I have two
respiration data points at each plot on each day.

I set this data up so that I could make comparisons of all of the
samples on the same day. That's why I have numbers like 2.5.

I also made a table for comparison of Combined.Day and Combined.Plot.

> cbind(Combined.Day, Combined.Plot)
    Combined.Day Combined.Plot
1    "1"          "60m"
2.5  "2.5"        "60m"
7.5  "7.5"        "60m"
8.5  "8.5"        "60m"
10.5 "10.5"       "60m"
12.5 "12.5"       "60m"
14.5 "14.5"       "60m"
17.5 "17.5"       "60m"
18.5 "18.5"       "60m"
19.5 "19.5"       "60m"
21.5 "21.5"       "60m"
24.5 "24.5"       "60m"
29.5 "29.5"       "60m"
32.5 "32.5"       "60m"
37.5 "37.5"       "60m"
50.5 "50.5"       "60m"
79.5 "79.5"       "60m"
1    "1"          "A1"
2.5  "2.5"        "A1"
7.5  "7.5"        "A1"
8.5  "8.5"        "A1"
10.5 "10.5"       "A1"
12.5 "12.5"       "A1"
14.5 "14.5"       "A1"
17.5 "17.5"       "A1"
18.5 "18.5"       "A1"
19.5 "19.5"       "A1"
21.5 "21.5"       "A1"
24.5 "24.5"       "A1"
29.5 "29.5"       "A1"
32.5 "32.5"       "A1"
37.5 "37.5"       "A1"
50.5 "50.5"       "A1"
79.5 "79.5"       "A1"
1    "1"          "B1"
2.5  "2.5"        "B1"
7.5  "7.5"        "B1"
8.5  "8.5"        "B1"
10.5 "10.5"       "B1"
12.5 "12.5"       "B1"
14.5 "14.5"       "B1"
17.5 "17.5"       "B1"
18.5 "18.5"       "B1"
19.5 "19.5"       "B1"
21.5 "21.5"       "B1"
24.5 "24.5"       "B1"
29.5 "29.5"       "B1"
32.5 "32.5"       "B1"
37.5 "37.5"       "B1"
50.5 "50.5"       "B1"
79.5 "79.5"       "B1"
1    "1"          "B3"
2.5  "2.5"        "B3"
7.5  "7.5"        "B3"
8.5  "8.5"        "B3"
10.5 "10.5"       "B3"
12.5 "12.5"       "B3"
14.5 "14.5"       "B3"
17.5 "17.5"       "B3"
18.5 "18.5"       "B3"
19.5 "19.5"       "B3"
21.5 "21.5"       "B3"
24.5 "24.5"       "B3"
29.5 "29.5"       "B3"
32.5 "32.5"       "B3"
37.5 "37.5"       "B3"
50.5 "50.5"       "B3"
79.5 "79.5"       "B3"
1    "1"          "B4"
2.5  "2.5"        "B4"
7.5  "7.5"        "B4"
8.5  "8.5"        "B4"
10.5 "10.5"       "B4"
12.5 "12.5"       "B4"
14.5 "14.5"       "B4"
17.5 "17.5"       "B4"
18.5 "18.5"       "B4"
19.5 "19.5"       "B4"
21.5 "21.5"       "B4"
24.5 "24.5"       "B4"
29.5 "29.5"       "B4"
32.5 "32.5"       "B4"
37.5 "37.5"       "B4"
50.5 "50.5"       "B4"
79.5 "79.5"       "B4"
1    "1"          "C5"
2.5  "2.5"        "C5"
7.5  "7.5"        "C5"
8.5  "8.5"        "C5"
10.5 "10.5"       "C5"
12.5 "12.5"       "C5"
14.5 "14.5"       "C5"
17.5 "17.5"       "C5"
18.5 "18.5"       "C5"
19.5 "19.5"       "C5"
21.5 "21.5"       "C5"
24.5 "24.5"       "C5"
29.5 "29.5"       "C5"
32.5 "32.5"       "C5"
37.5 "37.5"       "C5"
50.5 "50.5"       "C5"
79.5 "79.5"       "C5"
1    "1"          "C9"
2.5  "2.5"        "C9"
7.5  "7.5"        "C9"
8.5  "8.5"        "C9"
10.5 "10.5"       "C9"
12.5 "12.5"       "C9"
14.5 "14.5"       "C9"
17.5 "17.5"       "C9"
18.5 "18.5"       "C9"
19.5 "19.5"       "C9"
21.5 "21.5"       "C9"
24.5 "24.5"       "C9"
29.5 "29.5"       "C9"
32.5 "32.5"       "C9"
37.5 "37.5"       "C9"
50.5 "50.5"       "C9"
79.5 "79.5"       "C9"
1    "1"          "D2"
2.5  "2.5"        "D2"
7.5  "7.5"        "D2"
8.5  "8.5"        "D2"
10.5 "10.5"       "D2"
12.5 "12.5"       "D2"
14.5 "14.5"       "D2"
17.5 "17.5"       "D2"
18.5 "18.5"       "D2"
19.5 "19.5"       "D2"
21.5 "21.5"       "D2"
24.5 "24.5"       "D2"
29.5 "29.5"       "D2"
32.5 "32.5"       "D2"
37.5 "37.5"       "D2"
50.5 "50.5"       "D2"
79.5 "79.5"       "D2"
1    "1"          "D9"
2.5  "2.5"        "D9"
7.5  "7.5"        "D9"
8.5  "8.5"        "D9"
10.5 "10.5"       "D9"
12.5 "12.5"       "D9"
14.5 "14.5"       "D9"
17.5 "17.5"       "D9"
18.5 "18.5"       "D9"
19.5 "19.5"       "D9"
21.5 "21.5"       "D9"
24.5 "24.5"       "D9"
29.5 "29.5"       "D9"
32.5 "32.5"       "D9"
37.5 "37.5"       "D9"
50.5 "50.5"       "D9"
79.5 "79.5"       "D9"
1    "1"          "F60m"
2.5  "2.5"        "F60m"
7.5  "7.5"        "F60m"
8.5  "8.5"        "F60m"
10.5 "10.5"       "F60m"
12.5 "12.5"       "F60m"
14.5 "14.5"       "F60m"
17.5 "17.5"       "F60m"
18.5 "18.5"       "F60m"
19.5 "19.5"       "F60m"
21.5 "21.5"       "F60m"
24.5 "24.5"       "F60m"
29.5 "29.5"       "F60m"
32.5 "32.5"       "F60m"
37.5 "37.5"       "F60m"
50.5 "50.5"       "F60m"
79.5 "79.5"       "F60m"
1    "1"          "F8"
2.5  "2.5"        "F8"
7.5  "7.5"        "F8"
8.5  "8.5"        "F8"
10.5 "10.5"       "F8"
12.5 "12.5"       "F8"
14.5 "14.5"       "F8"
17.5 "17.5"       "F8"
18.5 "18.5"       "F8"
19.5 "19.5"       "F8"
21.5 "21.5"       "F8"
24.5 "24.5"       "F8"
29.5 "29.5"       "F8"
32.5 "32.5"       "F8"
37.5 "37.5"       "F8"
50.5 "50.5"       "F8"
79.5 "79.5"       "F8"
1    "1"          "Q7"
2.5  "2.5"        "Q7"
7.5  "7.5"        "Q7"
8.5  "8.5"        "Q7"
10.5 "10.5"       "Q7"
12.5 "12.5"       "Q7"
14.5 "14.5"       "Q7"
17.5 "17.5"       "Q7"
18.5 "18.5"       "Q7"
19.5 "19.5"       "Q7"
21.5 "21.5"       "Q7"
24.5 "24.5"       "Q7"
29.5 "29.5"       "Q7"
32.5 "32.5"       "Q7"
37.5 "37.5"       "Q7"
50.5 "50.5"       "Q7"
79.5 "79.5"       "Q7"
1    "1"          "60m"
2.5  "2.5"        "60m"
7.5  "7.5"        "60m"
8.5  "8.5"        "60m"
10.5 "10.5"       "60m"
12.5 "12.5"       "60m"
14.5 "14.5"       "60m"
17.5 "17.5"       "60m"
18.5 "18.5"       "60m"
19.5 "19.5"       "60m"
21.5 "21.5"       "60m"
24.5 "24.5"       "60m"
29.5 "29.5"       "60m"
32.5 "32.5"       "60m"
37.5 "37.5"       "60m"
50.5 "50.5"       "60m"
79.5 "79.5"       "60m"
1    "1"          "A1"
2.5  "2.5"        "A1"
7.5  "7.5"        "A1"
8.5  "8.5"        "A1"
10.5 "10.5"       "A1"
12.5 "12.5"       "A1"
14.5 "14.5"       "A1"
17.5 "17.5"       "A1"
18.5 "18.5"       "A1"
19.5 "19.5"       "A1"
21.5 "21.5"       "A1"
24.5 "24.5"       "A1"
29.5 "29.5"       "A1"
32.5 "32.5"       "A1"
37.5 "37.5"       "A1"
50.5 "50.5"       "A1"
79.5 "79.5"       "A1"
1    "1"          "B1"
2.5  "2.5"        "B1"
7.5  "7.5"        "B1"
8.5  "8.5"        "B1"
10.5 "10.5"       "B1"
12.5 "12.5"       "B1"
14.5 "14.5"       "B1"
17.5 "17.5"       "B1"
18.5 "18.5"       "B1"
19.5 "19.5"       "B1"
21.5 "21.5"       "B1"
24.5 "24.5"       "B1"
29.5 "29.5"       "B1"
32.5 "32.5"       "B1"
37.5 "37.5"       "B1"
50.5 "50.5"       "B1"
79.5 "79.5"       "B1"
1    "1"          "B3"
2.5  "2.5"        "B3"
7.5  "7.5"        "B3"
8.5  "8.5"        "B3"
10.5 "10.5"       "B3"
12.5 "12.5"       "B3"
14.5 "14.5"       "B3"
17.5 "17.5"       "B3"
18.5 "18.5"       "B3"
19.5 "19.5"       "B3"
21.5 "21.5"       "B3"
24.5 "24.5"       "B3"
29.5 "29.5"       "B3"
32.5 "32.5"       "B3"
37.5 "37.5"       "B3"
50.5 "50.5"       "B3"
79.5 "79.5"       "B3"
1    "1"          "B4"
2.5  "2.5"        "B4"
7.5  "7.5"        "B4"
8.5  "8.5"        "B4"
10.5 "10.5"       "B4"
12.5 "12.5"       "B4"
14.5 "14.5"       "B4"
17.5 "17.5"       "B4"
18.5 "18.5"       "B4"
19.5 "19.5"       "B4"
21.5 "21.5"       "B4"
24.5 "24.5"       "B4"
29.5 "29.5"       "B4"
32.5 "32.5"       "B4"
37.5 "37.5"       "B4"
50.5 "50.5"       "B4"
79.5 "79.5"       "B4"
1    "1"          "C5"
2.5  "2.5"        "C5"
7.5  "7.5"        "C5"
8.5  "8.5"        "C5"
10.5 "10.5"       "C5"
12.5 "12.5"       "C5"
14.5 "14.5"       "C5"
17.5 "17.5"       "C5"
18.5 "18.5"       "C5"
19.5 "19.5"       "C5"
21.5 "21.5"       "C5"
24.5 "24.5"       "C5"
29.5 "29.5"       "C5"
32.5 "32.5"       "C5"
37.5 "37.5"       "C5"
50.5 "50.5"       "C5"
79.5 "79.5"       "C5"
1    "1"          "C9"
2.5  "2.5"        "C9"
7.5  "7.5"        "C9"
8.5  "8.5"        "C9"
10.5 "10.5"       "C9"
12.5 "12.5"       "C9"
14.5 "14.5"       "C9"
17.5 "17.5"       "C9"
18.5 "18.5"       "C9"
19.5 "19.5"       "C9"
21.5 "21.5"       "C9"
24.5 "24.5"       "C9"
29.5 "29.5"       "C9"
32.5 "32.5"       "C9"
37.5 "37.5"       "C9"
50.5 "50.5"       "C9"
79.5 "79.5"       "C9"
1    "1"          "D2"
2.5  "2.5"        "D2"
7.5  "7.5"        "D2"
8.5  "8.5"        "D2"
10.5 "10.5"       "D2"
12.5 "12.5"       "D2"
14.5 "14.5"       "D2"
17.5 "17.5"       "D2"
18.5 "18.5"       "D2"
19.5 "19.5"       "D2"
21.5 "21.5"       "D2"
24.5 "24.5"       "D2"
29.5 "29.5"       "D2"
32.5 "32.5"       "D2"
37.5 "37.5"       "D2"
50.5 "50.5"       "D2"
79.5 "79.5"       "D2"
1    "1"          "D9"
2.5  "2.5"        "D9"
7.5  "7.5"        "D9"
8.5  "8.5"        "D9"
10.5 "10.5"       "D9"
12.5 "12.5"       "D9"
14.5 "14.5"       "D9"
17.5 "17.5"       "D9"
18.5 "18.5"       "D9"
19.5 "19.5"       "D9"
21.5 "21.5"       "D9"
24.5 "24.5"       "D9"
29.5 "29.5"       "D9"
32.5 "32.5"       "D9"
37.5 "37.5"       "D9"
50.5 "50.5"       "D9"
79.5 "79.5"       "D9"
1    "1"          "F60m"
2.5  "2.5"        "F60m"
7.5  "7.5"        "F60m"
8.5  "8.5"        "F60m"
10.5 "10.5"       "F60m"
12.5 "12.5"       "F60m"
14.5 "14.5"       "F60m"
17.5 "17.5"       "F60m"
18.5 "18.5"       "F60m"
19.5 "19.5"       "F60m"
21.5 "21.5"       "F60m"
24.5 "24.5"       "F60m"
29.5 "29.5"       "F60m"
32.5 "32.5"       "F60m"
37.5 "37.5"       "F60m"
50.5 "50.5"       "F60m"
79.5 "79.5"       "F60m"
1    "1"          "F8"
2.5  "2.5"        "F8"
7.5  "7.5"        "F8"
8.5  "8.5"        "F8"
10.5 "10.5"       "F8"
12.5 "12.5"       "F8"
14.5 "14.5"       "F8"
17.5 "17.5"       "F8"
18.5 "18.5"       "F8"
19.5 "19.5"       "F8"
21.5 "21.5"       "F8"
24.5 "24.5"       "F8"
29.5 "29.5"       "F8"
32.5 "32.5"       "F8"
37.5 "37.5"       "F8"
50.5 "50.5"       "F8"
79.5 "79.5"       "F8"
1    "1"          "Q7"
2.5  "2.5"        "Q7"
7.5  "7.5"        "Q7"
8.5  "8.5"        "Q7"
10.5 "10.5"       "Q7"
12.5 "12.5"       "Q7"
14.5 "14.5"       "Q7"
17.5 "17.5"       "Q7"
18.5 "18.5"       "Q7"
19.5 "19.5"       "Q7"
21.5 "21.5"       "Q7"
24.5 "24.5"       "Q7"
29.5 "29.5"       "Q7"
32.5 "32.5"       "Q7"
37.5 "37.5"       "Q7"
50.5 "50.5"       "Q7"
79.5 "79.5"       "Q7"

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