Assignment 1
Seed Data

You  are given  many sets  of data  on number  of seeds  in a  pod and
corresponding frequency. In some cases, there is information on number
of ovules per flower. Your assignment is as follows:

1. For  a  data  set  given  to  you fit  a  zero  truncated  binomial
distribution. Use as n the maximum number of seeds observed.

2. If the  fit is not  good, use a  mixture model. The  mixture arises
because different flowers may have different number of ovules.

Frequency distributions of pods  with various seed number in different
species:

--------------------------
C. pulcherrima, Data set 1
--------------------------

#Seeds/Pod         #Pods with this #Seeds
1                  10                    
2                  25                    
3                  27                    
4                  9                     
5                  12                    
6                  17                    
7                  31                    
8                  12                    
9                  1                     
Total              144                   

--------------------------
C. pulcherrima, Data set 2
--------------------------

#Seeds/Pod         #Pods with this #Seeds
1                  10                    
2                  24                    
3                  36                    
4                  17                    
5                  29                    
6                  30                    
7                  58                    
8                  51                    
9                  1                     
Total              256                   

--------------------
Species name unknown
--------------------

#Seeds/Pod         #Pods with this #Seeds
1                  1                     
2                  0                     
3                  1                     
4                  0                     
5                  0                     
6                  2                     
7                  0                     
8                  2                     
9                  10                    
10                 10                    
11                 8                     
12                 7                     
13                 6                     
14                 4                     
15                 3                     
16                 3                     
17                 0                     
Total              57                    

--------------------------------
Species name unknown, Thorn less
--------------------------------

#Seeds/Pod         #Pods with this #Seeds
1                  0                     
2                  0                     
3                  0                     
4                  1                     
5                  2                     
6                  6                     
7                  12                    
8                  23                    
9                  2                     
10                 1                     
11                 1                     
Total              48                    

-----------------------------
Species name unknown, Thorned
-----------------------------

#Seeds/Pod         #Pods with this #Seeds
1                  1                     
2                  0                     
3                  0                     
4                  2                     
5                  5                     
6                  3                     
7                  9                     
8                  12                    
9                  4                     
10                 1                     
11                 0                     
Total              37                    

-------------------------------
Species name unknown, Herb(pod)
-------------------------------

#Seeds/Pod         #Pods with this #Seeds
1                  0                     
2                  1                     
3                  4                     
4                  11                    
5                  24                    
6                  35                    
7                  6                     
8                  1                     
Total              82                    

-------------
Cajanus cajan
-------------

#Seeds/Pod         #Pods       #Ovules    
1                  2                     
2                  5                     
3                  11          1         
4                  20          5         
5                  17          4         
Total              55          10        

--------------
Cassia sericia
--------------

#Seeds/Pod         #Pods       #Ovules    
1                                        
2                                        
3                  1                     
4                  1                     
5                  2                     
6                  4                     
7                  12          1         
8                  20          3         
9                  19          5         
10                 5           1         
11                 0           1         
Total              64          11        

----------------------
Caesalpinia decapetala
Often self-pollinated
----------------------

#Seeds/Pod         #Pods       #Ovules    
1                  1                     
2                  1                     
3                  0                     
4                  2                     
5                  8           1         
6                  16          4         
7                  32          8         
8                  7           1         
Total              67          14        

----------------
Ipomea pericarpa
Cross-pollinated
----------------

#Seeds/Pod         #Pods       #Ovules    
1                  6                     
2                  8                     
3                  10                    
4                  4           100       
Total              28          100       

---------------------
Doliclios lab lab
Often self-pollinated
---------------------

#Seeds/Pod         #Pods       #Ovules    
1                  1                     
2                  4                     
3                  22          3         
4                  41          12        
5                  1           1         
Total              69          16        

---------------------
Kirganelia reticulata
Cross-pollinated
---------------------

#Seeds/Pod         #Pods       #Ovules    
1                  1                     
2                  2                     
3                  2                     
4                  2                     
5                  6                     
6                  22          100       
Total              35          100       

---------------------
Crotalaria sp.
Often self-pollinated
---------------------

#Seeds/Pod         #Pods       #Ovules    
1                                        
2                                        
3                  1                     
4                                        
5                                        
6                                        
7                                        
8                  1                     
9                  5                     
10                 8                     
11                 7                     
12                 8                     
13                 17                    
14                 14                    
15                 14                    
16                 9           1         
17                                       
18                 1           1         
Total              85          2         

----------------------
Phaseolus acontifolius
Often self-pollinated
----------------------

#Seeds/Pod         #Pods       #Ovules    
1                                        
2                  1                     
3                  1                     
4                  1                     
5                                        
6                                        
7                  3                     
8                  3                     
9                  1                     
10                 6                     
11                 6                     
12                 8                     
13                 7           6         
14                 6           6         
15                 6           2         
Total              49          14        

---------------------
Sp unknown
Often self-pollinated
---------------------

#Seeds/Pod         #Pods       #Ovules    
1                                        
2                                        
3                                        
4                                        
5                  1                     
6                                        
7                  2                     
8                  6           2         
9                  3           3         
10                 7           6         
11                 5           3         
12                 1           1         
Total              25          15        

----------------------
Tephrosia purpurea
Often cross-pollinated
----------------------

#Seeds/Pod         #Pods       #Ovules    
1                  6                     
2                  7                     
3                  13          1         
4                  26          2         
5                  19          15        
6                  10          5         
Total              81          23        

----------------------
Dalbergia sp. (tree 1)
----------------------

#Seeds/Pod         #Pods       #Ovules    
1                  401                   
2                  104                   
3                  22          1         
4                  3           14        
5                              4         
6                              1         
Total              530         20        

----------------------
Dalbergia sp. (tree 2)
----------------------

#Seeds/Pod         #Pods       #Ovules    
1                  238                   
2                  90                    
3                  38                    
4                  6           6         
5                              10        
6                              2         
Total              372         18        

----------------
Mimosa pudica
cross-pollinated
----------------

#Seeds/Pod         #Pods       #Ovules    
1                  7                     
2                  23                    
3                  20          13        
4                  3           6         
Total              53          19        

-----------------
Bauhinia racemosa
cross-pollinated
-----------------

#Seeds/Pod         #Pods       #Ovules    
1                                        
2                  1                     
3                  3                     
4                  6                     
5                  5                     
6                  9                     
7                  9                     
8                  10                    
9                  8                     
10                 4                     
11                 5                     
12                 4                     
13                 2                     
14                 1                     
15                 3                     
16                 1                     
17                 5           1         
18                 2           5         
19                 7           6         
20                 4           5         
21                 2           3         
22                 2                     
23                 2                     
24                 1                     
25                 1                     
Total              97          20        

--------------------
Cyppadessa baccifera
cross-pollinated
--------------------

#Seeds/Pod         #Pods       #Ovules    
1                  1                     
2                  6                     
3                  19                    
4                  35                    
5                  15          100       
Total              76          100       

----------------------
Leuceaena leucocephala
Often self-pollinated
----------------------

#Seeds/Pod         #Pods       #Ovules    
7                  2                     
8                  2                     
9                  0                     
10                 2                     
11                 4                     
12                 0                     
13                 1                     
14                 3                     
15                 6                     
16                 7                     
17                 8                     
18                 10                    
19                 9                     
20                 11          2         
21                 8           3         
22                 2           4         
23                 2           4         
24                 0           7         
25                 1           3         
Total              78          23