Methods and systems for determining assessment characters

A method of determining one or more input characters based upon character recognition output of an education assessment system, the method comprising:

• receiving, by a processing device, a proposed character string generated using character recognition, wherein the proposed character string is associated with a plurality of handwritten characters of an assessment of a student, wherein the proposed character string comprises a first proposed character and a second proposed character;
• identifying one or more possible characters;
• determining, by the processing device, whether the first proposed character is correct, by, for one or more of the possible characters, determining an ultimate probability that the first proposed character is the possible character given the character string by:
• determining a first probability equal to a probability that if a true value of the first proposed character is the possible character that the first proposed character was identified,
• determining a second probability equal to a probability that if the true value of the first proposed character is the possible character that a following character is the second proposed character,
• determining a third probability equal to a probability that the student wrote the possible character, and
• determining a product of the first probability, the second probability and the third probability;
• and
• selecting the ultimate probability having the highest value.

A system of determining an input character based upon character recognition output, the system comprising:

• a computing device;
• and
• a non-transitory computer-readable storage medium in communication with the computing device, wherein the computer-readable storage medium comprises one or more programming instructions that, when executed, cause the computing device to:
• receive a proposed value generated using character recognition, wherein the proposed value is associated with at least one handwritten character of an assessment, and
• determine whether the proposed value is correct, by:
• determining a posterior probability associated with each of one or more possible characters,
• identifying the possible character associated with the posterior probability having a highest value, and
• in response to identifying the proposed value as the possible character associated with the posterior probability having a highest value, determining, by the processing device, that the proposed value is correct, otherwise, determining that the proposed value is incorrect.

A system of determining one or more input characters based upon character recognition output, the system comprising:

• a computing device;
• and
• a non-transitory computer-readable storage medium in communication with the computing device, wherein the computer-readable storage medium comprises one or more programming instructions that, when executed, cause the computing device to:
• receive a proposed character string generated using character recognition, wherein the proposed character string is associated with a plurality of handwritten characters of an assessment of a student, wherein the proposed character string comprises a first proposed character and a second proposed character,
• identify one or more possible characters,
• determine whether the first proposed character is correct, by, for one or more of the possible characters, determining an ultimate probability that the first proposed character is the possible character given the character string by:
• determining a first probability equal to a probability that if a true value of the first proposed character is the possible character that the first proposed character was identified,
• determining a second probability equal to a probability that if the true value of the first proposed character is the possible character that a following character is the second proposed character,
• determining a third probability equal to a probability that the student wrote the possible character, and
• determining a product of the first probability, the second probability and the third probability;
• and
• select the ultimate probability having the highest value.