I propose that many of the claims of mental errors –lack of confidence, lack of focus, etc. – are the results of muscle memory related to your tennis stroke, or more accurately, the lack thereof. Let me point out that I agree that many unforced errors are mental. It is a fact that mental errors and lapses occur and cause one to lose on occasions. But… I believe…
Many unforced errors are not due to mental errors
AND
Many lost matches to inferior players, but still close in skill set, are not due to mental errors, but are actually due to lack of muscle memory, and the resulting mathematical probability.
Here is the mathematical support. To understand this, use a mathematical simulator. This was developed by a friend, Sven. He graduated with a degree in Mathematics from Humboldt University of Berlin. After that, he did years of computer programming and working with software. He now heads a team at Amazon.
To use this tool, you will need to go to his Website – http://www.jayoogee.com/mytennismatches/Login.aspx. You enter whether it takes 2 or 3 sets to win the match. You next enter the percentage of points won out of 100 points played. For example, one player wins 51% of the points. The Simulator then does calculations for 100 games using statistical probability. Results show total matches and games won and lost out of 100. Results also calculate the score for each individual match – all based on the statistical probability of one player winning 51% of 100 points. Results vary – a lot!
Start by running a simulation of Player 1 winning 51% of the points and Player 2 winning 49% of the points. Overall the better player wins about 60% of the time. This should sound intuitively reasonable.
SIMULATION RESULT
Matches Won Player 1: 59
Matches Won Player 2: 41
No. Score
1 7-5, 4-6, 6-2
2 5-7, 7-6, 7-6
3 6-3 6-3
4 7-6, 3-6, 7-5
5 4-6, 6-4, 4-6
6 6-4, 6-3
7 7-6, 6-2
8 6-2, 6-3
9 0-6, 6-3, 6-7
10 6-2, 7-6
11 1-6, 0-6
12 2-6, 6-3, 7-6
13 3-6, 6-2, 7-6
14 1-6, 7-5, 3-6
15 3-6, 4-6
16 6-7, 5-7
17 6-3, 6-4
18 7-6, 6-4
19 4-6, 7-5, 6-1
20 4-6, 6-4, 6-7
21 6-4, 6-2
22 2-6, 3-6
23 6-2, 6-7, 1-6
24 7-6, 5-7, 6-0
25 6-3, 7-5
26 5-7, 6-4, 3-6
27 4-6, 4-6
28 1-6, 6-2, 6-2
29 3-6, 3-6
30 7-5, 4-6, 4-6
31 3-6, 4-6
32 5-7, 6-2, 5-7
33 1-6, 4-6
34 6-4, 6-3
35 6-4, 6-2
36 6-3, 5-7, 6-2
37 6-4, 3-6, 6-3
38 6-4, 6-0
39 5-7, 1-6
40 6-7, 2-6
41 6-3, 3-6, 6-3
42 4-6, 6-2, 6-1
43 5-7, 1-6
44 6-3, 4-6, 2-6
45 6-2, 7-5
46 6-2, 7-5
47 4-6, 6-2, 7-5
48 4-6, 3-6
49 4-6, 6-4, 6-4
50 6-4, 6-4
51 6-4, 3-6, 6-3
52 6-4, 2-6, 5-7
53 7-5, 6-3
54 6-7, 3-6
55 6-3, 7-6
56 6-0, 6-3
57 7-5, 7-6
58 6-4, 6-7, 7-6
59 1-6, 6-1, 6-0
60 4-6, 6-0, 3-6
61 7-6, 6-3
62 6-3, 7-6
63 3-6, 6-1, 7-6
64 7-6, 7-6
65 6-2, 6-2
66 6-0, 3-6, 7-5
67 4-6, 6-2, 4-6
68 4-6, 2-6
69 7-5, 6-7, 6-1
70 4-6, 1-6
71 6-4, 6-7, 5-7
72 6-3, 7-5
73 3-6, 6-3, 7-6
74 1-6, 2-6
75 4-6, 6-3, 6-4
76 4-6, 4-6
77 7-5, 6-3
78 6-3, 4-6, 6-3
79 3-6, 6-3, 4-6
80 6-2-6-7, 6-7
81 6-3, 3-6, 4-6
82 6-4, 6-2
83 3-6, 4-6
84 6-2, 6-1
85 4-6, 6-3, 6-3
86 6-7, 1-6
87 4-6, 4-6
88 6-4, 4-6, 2-6
89 6-4, 6-3
90 6-3, 6-2
91 6-4, 6-2
92 6-4, 6-3
93 4-6, 6-3, 6-3
94 5-7, 6-7
95 7-5, 6-7, 7-5
96 2-6, 3-6
97 6-3, 4-6, 7-6
98 6-7, 1-6
99 6-1, 7-5
100 5-7, 6-7
So what do the numbers tell you? As noted, you are better than your opponent but not by much - you win 51% of 100 points. You will win about 60% or your matches. Let’s take the numbers 59-41 as an average representation (meaning out of 100 matches, you win 59 and your opponent wins 41).
Now review some of the losing scores. Note the lopsided losing score in some of the matches by the better player:
Match #11 is 1-6, 0-6
Match #22 is 2-6, 3-6
Match #33 is 1-6, 4-6
Match #70 is 4-6, 2-6
Match #74 is 1-6, 2-6
Match #86 is 6-7, 1-6
Match #96 is 2-6, 3-6.
Sounds bad? Is it mental? Statistically not (but mental can make it even worse) but this simulation is statistical fact. It is mathematical probability.
Now, first, I think you know how often it is only a very small number of points won/lost that separate the top players from one another.
To summarize, you are playing against a weaker opponent, winning 51% of the points overall (6 out of 10 matches). But …..note in matches 29-33 –you lose 5 matches in a row, and from 26-33 you lost 7 out of 8 - all to an inferior player, but not by much (you also won 11 out of 12 in matches 55-66). But neither of these streaks are due to the "mental" aspect - this is strictly math. Now throw in the mental aspect, and who knows how the results will vary.
Back to my original proposals:
Many unforced errors are not due to mental errors
AND
Many lost matches to inferior players, but still close in skill set, are not due to mental errors, but are actually due to lack of muscle memory, and the resulting mathematical probability.
Important Point! The mental game is critically important. Many players will have their game break down due to mental stress, esp if they make a few errors. A few will find renewed strength when the pressure is on. However, my point is, statistical probability and variation accounts for much more of the variation than is generally appreciated.
Taken from my book (chapter 22): “Muscle Memory and Imagery: Better Tennis” (on Amazon Books)
Many unforced errors are not due to mental errors
AND
Many lost matches to inferior players, but still close in skill set, are not due to mental errors, but are actually due to lack of muscle memory, and the resulting mathematical probability.
Here is the mathematical support. To understand this, use a mathematical simulator. This was developed by a friend, Sven. He graduated with a degree in Mathematics from Humboldt University of Berlin. After that, he did years of computer programming and working with software. He now heads a team at Amazon.
To use this tool, you will need to go to his Website – http://www.jayoogee.com/mytennismatches/Login.aspx. You enter whether it takes 2 or 3 sets to win the match. You next enter the percentage of points won out of 100 points played. For example, one player wins 51% of the points. The Simulator then does calculations for 100 games using statistical probability. Results show total matches and games won and lost out of 100. Results also calculate the score for each individual match – all based on the statistical probability of one player winning 51% of 100 points. Results vary – a lot!
Start by running a simulation of Player 1 winning 51% of the points and Player 2 winning 49% of the points. Overall the better player wins about 60% of the time. This should sound intuitively reasonable.
SIMULATION RESULT
Matches Won Player 1: 59
Matches Won Player 2: 41
No. Score
1 7-5, 4-6, 6-2
2 5-7, 7-6, 7-6
3 6-3 6-3
4 7-6, 3-6, 7-5
5 4-6, 6-4, 4-6
6 6-4, 6-3
7 7-6, 6-2
8 6-2, 6-3
9 0-6, 6-3, 6-7
10 6-2, 7-6
11 1-6, 0-6
12 2-6, 6-3, 7-6
13 3-6, 6-2, 7-6
14 1-6, 7-5, 3-6
15 3-6, 4-6
16 6-7, 5-7
17 6-3, 6-4
18 7-6, 6-4
19 4-6, 7-5, 6-1
20 4-6, 6-4, 6-7
21 6-4, 6-2
22 2-6, 3-6
23 6-2, 6-7, 1-6
24 7-6, 5-7, 6-0
25 6-3, 7-5
26 5-7, 6-4, 3-6
27 4-6, 4-6
28 1-6, 6-2, 6-2
29 3-6, 3-6
30 7-5, 4-6, 4-6
31 3-6, 4-6
32 5-7, 6-2, 5-7
33 1-6, 4-6
34 6-4, 6-3
35 6-4, 6-2
36 6-3, 5-7, 6-2
37 6-4, 3-6, 6-3
38 6-4, 6-0
39 5-7, 1-6
40 6-7, 2-6
41 6-3, 3-6, 6-3
42 4-6, 6-2, 6-1
43 5-7, 1-6
44 6-3, 4-6, 2-6
45 6-2, 7-5
46 6-2, 7-5
47 4-6, 6-2, 7-5
48 4-6, 3-6
49 4-6, 6-4, 6-4
50 6-4, 6-4
51 6-4, 3-6, 6-3
52 6-4, 2-6, 5-7
53 7-5, 6-3
54 6-7, 3-6
55 6-3, 7-6
56 6-0, 6-3
57 7-5, 7-6
58 6-4, 6-7, 7-6
59 1-6, 6-1, 6-0
60 4-6, 6-0, 3-6
61 7-6, 6-3
62 6-3, 7-6
63 3-6, 6-1, 7-6
64 7-6, 7-6
65 6-2, 6-2
66 6-0, 3-6, 7-5
67 4-6, 6-2, 4-6
68 4-6, 2-6
69 7-5, 6-7, 6-1
70 4-6, 1-6
71 6-4, 6-7, 5-7
72 6-3, 7-5
73 3-6, 6-3, 7-6
74 1-6, 2-6
75 4-6, 6-3, 6-4
76 4-6, 4-6
77 7-5, 6-3
78 6-3, 4-6, 6-3
79 3-6, 6-3, 4-6
80 6-2-6-7, 6-7
81 6-3, 3-6, 4-6
82 6-4, 6-2
83 3-6, 4-6
84 6-2, 6-1
85 4-6, 6-3, 6-3
86 6-7, 1-6
87 4-6, 4-6
88 6-4, 4-6, 2-6
89 6-4, 6-3
90 6-3, 6-2
91 6-4, 6-2
92 6-4, 6-3
93 4-6, 6-3, 6-3
94 5-7, 6-7
95 7-5, 6-7, 7-5
96 2-6, 3-6
97 6-3, 4-6, 7-6
98 6-7, 1-6
99 6-1, 7-5
100 5-7, 6-7
So what do the numbers tell you? As noted, you are better than your opponent but not by much - you win 51% of 100 points. You will win about 60% or your matches. Let’s take the numbers 59-41 as an average representation (meaning out of 100 matches, you win 59 and your opponent wins 41).
Now review some of the losing scores. Note the lopsided losing score in some of the matches by the better player:
Match #11 is 1-6, 0-6
Match #22 is 2-6, 3-6
Match #33 is 1-6, 4-6
Match #70 is 4-6, 2-6
Match #74 is 1-6, 2-6
Match #86 is 6-7, 1-6
Match #96 is 2-6, 3-6.
Sounds bad? Is it mental? Statistically not (but mental can make it even worse) but this simulation is statistical fact. It is mathematical probability.
Now, first, I think you know how often it is only a very small number of points won/lost that separate the top players from one another.
To summarize, you are playing against a weaker opponent, winning 51% of the points overall (6 out of 10 matches). But …..note in matches 29-33 –you lose 5 matches in a row, and from 26-33 you lost 7 out of 8 - all to an inferior player, but not by much (you also won 11 out of 12 in matches 55-66). But neither of these streaks are due to the "mental" aspect - this is strictly math. Now throw in the mental aspect, and who knows how the results will vary.
Back to my original proposals:
Many unforced errors are not due to mental errors
AND
Many lost matches to inferior players, but still close in skill set, are not due to mental errors, but are actually due to lack of muscle memory, and the resulting mathematical probability.
Important Point! The mental game is critically important. Many players will have their game break down due to mental stress, esp if they make a few errors. A few will find renewed strength when the pressure is on. However, my point is, statistical probability and variation accounts for much more of the variation than is generally appreciated.
Taken from my book (chapter 22): “Muscle Memory and Imagery: Better Tennis” (on Amazon Books)
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