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The goal of cryptography is to maintain the secrecy of information while steganography aims to hide the information. A hybrid steganography and cryptography method was introduced to increase the security of data transmission. Random Similar Bit Mapping (RSBM) was proposed to hide a secret message without modifying the image and generates a Position File (PF) which stores the positions of a hidden message. PF is encrypted using Advanced Encryption Standard (AES) algorithm before being sent to the receiver. Two security measures were proposed to estimate the message location in PF based on Correct Position Finding (CPF) for message detection against a brute force attack. This paper compared related works using the proposed security measures to evaluate its security. From the CPF probability analysis, RSBM produced the lowest CPF probability results, while recording the highest CPF time complexity results in CPF time complexity analysis. In conclusion, RSBM ensured high data security which can be implemented in any information hiding application.